Prime p₀= 1157415789868129469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 76 2 10 2 58 2 40 2 (?)
a_n: 0 2 18 20 60 62 138 140 150 152 210 212 252 254
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: 254
Found by: biodoc
db: batch=77, k=14, 16 40 76 10 58 40

SPT(16)	1157414932251691073	0 6 98 146 174 200 240 276 308 344 384 410 438 486 578 584	-857616438396
SPT(16)	1157415387561066937	0 34 64 84 106 144 190 216 310 336 382 420 442 462 492 526	-402307062532
SPT(16)	1157415517375936261	0 10 18 42 46 88 112 156 172 216 240 282 286 310 318 328	-272492193208
SPT(20)	1157415649284788461	0 16 42 78 126 148 156 162 190 196 222 228 256 262 270 292 340 376 402 418	-140583341008
STPT(10)	1157415664507569947	0 2 30 32 42 44 54 56 84 86	-125360559522
TPT(14)	1157415737083856009	0 2 48 50 102 104 240 242 312 314 432 434 468 470	-52784273460
SPT(16)	1157415790867405513	0 6 28 54 90 94 124 166 168 210 240 244 280 306 328 334	999276044
STPT(10)	1157415811825966751	0 2 36 38 78 80 120 122 156 158	21957837282
STPT(10)	1157415813421791947	0 2 72 74 102 104 132 134 204 206	23553662478
SPT(16)	1157415849711282451	0 6 10 36 52 58 66 70 78 82 90 96 112 138 142 148	59843152982
STPT(10)	1157415918653150909	0 2 18 20 30 32 42 44 60 62	128785021440