Prime p₀= 2958091696856400551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 10 2 16 2 58 2 22 2 (?)
a_n: 0 2 30 32 96 98 108 110 126 128 186 188 210 212
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: 212
Found by: fzs600
db: batch=82, k=14, 28 64 10 16 58 22

SPT(16)	2958090372028724057	0 24 54 72 74 86 114 132 164 182 210 222 224 242 272 296	-1324827676494
SPT(16)	2958090726542625473	0 50 128 140 164 198 276 290 294 308 386 420 444 456 534 584	-970313775078
SPT(16)	2958091003401909227	0 12 30 54 74 144 182 222 272 312 350 420 440 464 482 494	-693454491324
SPT(16)	2958091149357043681	0 16 48 90 108 126 132 156 172 196 202 220 238 280 312 328	-547499356870
SPT(16)	2958091421882314573	0 30 78 114 136 154 160 174 220 234 240 258 280 316 364 394	-274974085978
TPT(14)	2958091563374986607	0 2 162 164 252 254 384 386 414 416 522 524 552 554	-133481413944
STPT(10)	2958091909381653557	0 2 60 62 102 104 144 146 204 206	212525253006
STPT(10)	2958092014926860561	0 2 36 38 78 80 120 122 156 158	318070460010
STPT(10)	2958092541800543669	0 2 18 20 30 32 42 44 60 62	844944143118
STPT(10)	2958092564214490847	0 2 60 62 72 74 84 86 144 146	867358090296
SPT(16)	2958093196083208063	0 6 24 28 40 46 58 66 118 126 138 144 156 160 178 184	1499226807512