Prime p₀= 1088500723092818039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 64 2 10 2 70 2 16 2 (?)
a_n: 0 2 30 32 102 104 168 170 180 182 252 254 270 272
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: 272
Found by: Theadalus
db: batch=76, k=14, 28 70 64 10 70 16

SPT(16)	1088499254557475273	0 8 38 60 66 108 134 170 204 240 266 308 314 336 366 374	-1468535342766
SPT(16)	1088499508341088783	0 10 58 66 108 120 148 150 286 288 316 328 370 378 426 436	-1214751729256
SPT(16)	1088499648751267747	0 30 36 60 96 120 130 142 234 246 256 280 316 340 346 376	-1074341550292
SPT(16)	1088500032428715541	0 66 76 78 82 120 126 148 150 172 178 216 220 222 232 298	-690664102498
TPT(14)	1088500425312942701	0 2 36 38 120 122 138 140 168 170 276 278 300 302	-297779875338
TPT(14)	1088500620885549899	0 2 42 44 102 104 108 110 198 200 228 230 282 284	-102207268140
STPT(10)	1088501357335213277	0 2 30 32 42 44 54 56 84 86	634242395238
STPT(10)	1088501558005566371	0 2 6 8 18 20 30 32 36 38	834912748332
SPT(16)	1088502166573384429	0 52 70 100 154 174 184 202 300 318 328 348 402 432 450 502	1443480566390
SPT(16)	1088502226566203177	0 2 24 42 60 72 80 84 200 204 212 224 242 260 282 284	1503473385138
SPT(16)	1088502260392903717	0 70 82 96 154 174 210 214 252 256 292 312 370 384 396 466	1537300085678