Prime p₀= 2817975183853740431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 10 2 178 2 16 2 28 2 (?)
a_n: 0 2 78 80 96 98 108 110 288 290 306 308 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=14, 76 16 10 178 16 28

SPT(16)	2817974403817295287	0 10 34 60 64 76 112 120 136 144 180 192 196 222 246 256	-780036445144
SPT(16)	2817974778617003501	0 12 38 56 60 66 80 90 158 168 182 188 192 210 236 248	-405236736930
SPT(16)	2817974837801721043	0 18 36 76 84 124 150 186 238 274 300 340 348 388 406 424	-346052019388
STPT(10)	2817974995661932151	0 2 90 92 108 110 126 128 216 218	-188191808280
SPT(16)	2817975008912094373	0 28 66 70 150 166 168 174 220 226 228 244 324 328 366 394	-174941646058
TPT(14)	2817975145529387021	0 2 6 8 66 68 78 80 120 122 168 170 246 248	-38324353410
SPT(16)	2817975542039719291	0 28 40 60 76 88 96 126 142 172 180 192 208 228 240 268	358185978860
SPT(16)	2817975907704369523	0 4 48 96 126 210 244 256 258 270 304 388 418 466 510 514	723850629092
STPT(10)	2817976035386228447	0 2 42 44 132 134 222 224 264 266	851532488016
STPT(10)	2817976087380866309	0 2 18 20 60 62 102 104 120 122	903527125878
SPT(16)	2817976310231471071	0 12 16 28 40 72 90 132 196 238 256 288 300 312 316 328	1126377730640