Prime p₀= 2591435598920469617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 70 2 58 2 70 2 4 2 (?)
a_n: 0 2 30 32 120 122 192 194 252 254 324 326 330 332
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: 332
Found by: biodoc
db: batch=82, k=14, 28 88 70 58 70 4

SPT(16)	2591433900731561359	0 34 52 90 102 108 112 132 190 210 214 220 232 270 288 322	-1698188908258
SPT(16)	2591434143478911503	0 26 36 48 50 54 56 68 246 258 260 264 266 278 288 314	-1455441558114
SPT(16)	2591434508742879103	0 28 78 94 126 196 198 226 258 286 288 358 390 406 456 484	-1090177590514
STPT(10)	2591434572789131099	0 2 18 20 30 32 42 44 60 62	-1026131338518
TPT(14)	2591434748819914841	0 2 6 8 18 20 48 50 156 158 180 182 186 188	-850100554776
SPT(16)	2591435443424047273	0 4 36 58 70 76 100 126 148 174 198 204 216 238 270 274	-155496422344
STPT(10)	2591435633863795931	0 2 36 38 78 80 120 122 156 158	34943326314
SPT(16)	2591435722905846119	0 2 8 14 30 42 134 168 254 288 380 392 408 414 420 422	123985376502
STPT(12)	2591436360840740597	0 2 30 32 42 44 72 74 84 86 114 116	761920270980
SPT(16)	2591436388357416373	0 4 28 96 120 124 126 190 204 268 270 274 298 366 390 394	789436946756
STPT(10)	2591436704167770749	0 2 42 44 90 92 138 140 180 182	1105247301132