Prime p₀= 1282505820491702459 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 34 2 10 2 76 2 58 2 (?)
a_n: 0 2 30 32 42 44 78 80 90 92 168 170 228 230
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: 230
Found by: Cruncher Pete
db: batch=77, k=14, 28 10 34 10 76 58

SPT(16)	1282504819520808827	0 20 26 56 114 116 144 146 150 152 180 182 240 270 276 296	-1000970893632
SPT(16)	1282505046654207967	0 30 42 52 90 100 136 154 162 180 216 226 264 274 286 316	-773837494492
SPT(16)	1282505248137160573	0 10 28 84 88 126 130 136 138 144 148 186 190 246 264 274	-572354541886
SPT(16)	1282505327303303063	0 6 20 126 228 230 258 266 360 368 396 398 500 606 620 626	-493188399396
SPT(16)	1282505495911747873	0 24 78 90 94 148 204 240 244 280 336 390 394 406 460 484	-324579954586
SPT(16)	1282505689668232759	0 34 60 70 100 112 114 130 144 160 162 174 204 214 240 274	-130823469700
SPT(16)	1282506134371240039	0 4 60 70 72 94 162 192 232 262 330 352 354 364 420 424	313879537580
SPT(16)	1282506345032505349	0 28 30 72 94 120 130 142 150 162 172 198 220 262 264 292	524540802890
SPT(16)	1282506871523719423	0 46 60 84 114 124 154 156 238 240 270 280 310 334 348 394	1051032016964
STPT(10)	1282507110637105181	0 2 6 8 48 50 90 92 96 98	1290145402722
STPT(10)	1282507349245584101	0 2 6 8 48 50 90 92 96 98	1528753881642