Prime p₀= 2712363359981908271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 88 2 28 2 40 2 4 2 (?)
a_n: 0 2 60 62 78 80 168 170 198 200 240 242 246 248
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: 248
Found by: JayPi
db: batch=82, k=14, 58 16 88 28 40 4

STPT(10)	2712361813727896751	0 2 36 38 78 80 120 122 156 158	-1546254011520
SPT(16)	2712362038343672269	0 64 70 84 100 112 168 174 178 184 240 252 268 282 288 352	-1321638236002
SPT(16)	2712362246684579603	0 6 44 56 126 140 144 170 270 296 300 314 384 396 434 440	-1113297328668
STPT(10)	2712362424324853211	0 2 6 8 18 20 30 32 36 38	-935657055060
SPT(16)	2712362801827682467	0 10 24 100 102 126 142 156 190 204 220 244 246 322 336 346	-558154225804
TPT(14)	2712362874759592259	0 2 162 164 228 230 258 260 282 284 342 344 462 464	-485222316012
STPT(10)	2712363377760658649	0 2 18 20 30 32 42 44 60 62	17778750378
SPT(16)	2712363419130927977	0 30 32 120 132 134 156 192 224 260 282 284 296 384 386 416	59149019706
SPT(16)	2712363538471511201	0 6 36 116 140 158 186 200 228 242 270 288 312 392 422 428	178489602930
SPT(16)	2712363587235257521	0 10 40 48 82 112 126 192 196 262 276 306 340 348 378 388	227253349250
SPT(16)	2712364146541584707	0 14 42 44 50 170 204 212 222 230 264 384 390 392 420 434	786559676436