Prime p₀= 1264544667304511687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 46 2 40 2 40 2 88 2 (?)
a_n: 0 2 24 26 42 44 90 92 132 134 174 176 264 266
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: 266
Found by: stoneageman
db: batch=77, k=14, 22 16 46 40 40 88

SPT(16)	1264543833430412573	0 26 36 44 54 86 96 110 150 164 174 206 216 224 234 260	-833874099114
SPT(16)	1264544065975096679	0 50 120 138 168 180 222 234 248 260 302 314 344 362 432 482	-601329415008
SPT(16)	1264544273592677963	0 8 18 20 44 84 116 156 158 198 230 270 294 296 306 314	-393711833724
STPT(10)	1264544366724154379	0 2 48 50 90 92 132 134 180 182	-300580357308
STPT(10)	1264544440252033637	0 2 30 32 72 74 114 116 144 146	-227052478050
SPT(16)	1264544594456769919	0 52 118 138 168 174 210 328 384 502 538 544 574 594 660 712	-72847741768
STPT(10)	1264544846586057731	0 2 30 32 78 80 126 128 156 158	179281546044
SPT(16)	1264544922064252481	0 2 38 50 90 98 156 162 176 182 240 248 288 300 336 338	254759740794
SPT(18)	1264544942187564781	0 16 22 28 30 90 112 160 162 226 228 276 298 358 360 366 372 388	274883053094
SPT(16)	1264544950682054221	0 6 46 60 90 118 136 160 228 252 270 298 328 342 382 388	283377542534
SPT(16)	1264545072015054829	0 30 42 48 60 82 142 150 160 168 228 250 262 268 280 310	404710543142