Prime p₀= 2842734239996170517 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 16 2 22 2 16 2 46 2 (?)
a_n: 0 2 54 56 72 74 90 92 114 116 132 134 180 182
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: paulteo
db: batch=82, k=14, 52 16 16 22 16 46

SPT(16)	2842732548242614507	0 22 30 34 46 82 124 130 156 162 204 240 252 256 264 286	-1691753556010
SPT(16)	2842733160409454063	0 26 44 68 78 90 98 110 114 126 134 146 156 180 198 224	-1079586716454
SPT(16)	2842733353696752029	0 38 42 54 72 90 140 152 210 222 272 290 308 320 324 362	-886299418488
SPT(16)	2842733704897504753	0 10 18 60 96 108 178 180 214 216 286 298 334 376 384 394	-535098665764
SPT(16)	2842733903158000783	0 28 64 66 138 196 204 240 274 310 318 376 448 450 486 514	-336838169734
SPT(18)	2842734118931927629	0 28 40 48 52 54 78 90 94 138 142 154 178 180 184 192 204 232	-121064242888
SPT(16)	2842734306842043209	0 24 30 50 60 72 134 180 224 270 332 344 354 374 380 404	66845872692
SPT(16)	2842734723213121123	0 10 24 60 66 90 100 118 126 144 154 178 184 220 234 244	483216950606
SPT(16)	2842734982993060241	0 8 32 38 48 62 102 126 182 206 246 260 270 276 300 308	742996889724
SPT(16)	2842735049031218303	0 8 48 50 74 84 86 128 186 228 230 240 264 266 306 314	809035047786
SPT(16)	2842735261363972427	0 32 50 56 74 96 122 144 182 204 230 252 270 276 294 326	1021367801910