Prime p₀= 2565909790088702177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 136 2 40 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 180 182 222 224 240 242 264 266
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: RFGuy_KCCO
db: batch=82, k=14, 22 16 136 40 16 22

SPT(16)	2565908401612901239	0 10 30 52 70 102 144 160 252 268 310 342 360 382 402 412	-1388475800938
SPT(16)	2565908484306045341	0 12 108 138 158 192 248 260 270 282 338 372 392 422 518 530	-1305782656836
STPT(10)	2565908642858435627	0 2 30 32 42 44 54 56 84 86	-1147230266550
STPT(10)	2565908857744056491	0 2 6 8 18 20 30 32 36 38	-932344645686
SPT(16)	2565909512950248313	0 34 36 58 70 88 144 190 294 340 396 414 426 448 450 484	-277138453864
SPT(16)	2565909609256675063	0 4 18 40 46 88 96 114 130 148 156 198 204 226 240 244	-180832027114
SPT(16)	2565910024671881441	0 26 66 116 120 138 168 180 308 320 350 368 372 422 462 488	234583179264
STPT(10)	2565910160015889677	0 2 12 14 42 44 72 74 84 86	369927187500
SPT(16)	2565910246637719643	0 36 54 60 84 98 128 146 168 186 216 230 254 260 278 314	456549017466
TPT(14)	2565911127386303369	0 2 162 164 192 194 252 254 318 320 330 332 360 362	1337297601192
SPT(16)	2565911200276159789	0 42 54 78 148 160 172 202 210 240 252 264 334 358 370 412	1410187457612