Prime p₀= 2534236411758923549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 64 2 52 2 4 2 52 2 (?)
a_n: 0 2 60 62 72 74 138 140 192 194 198 200 252 254
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: JayPi
db: batch=82, k=14, 58 10 64 52 4 52

SPT(16)	2534234812142989237	0 36 42 64 76 90 120 150 196 226 256 270 282 304 310 346	-1599615934312
SPT(16)	2534234886139216093	0 54 58 106 114 138 148 166 168 186 196 220 228 276 280 334	-1525619707456
SPT(16)	2534234940180519871	0 16 22 52 58 78 96 120 298 322 340 360 366 396 402 418	-1471578403678
STPT(10)	2534234981625577331	0 2 6 8 48 50 90 92 96 98	-1430133346218
TPT(14)	2534235939642699371	0 2 186 188 198 200 228 230 258 260 330 332 336 338	-472116224178
SPT(16)	2534236212356577583	0 30 40 66 70 88 136 148 228 240 288 306 310 336 346 376	-199402345966
SPT(16)	2534236911101013707	0 66 110 150 156 176 206 242 330 366 396 416 422 462 506 572	499342090158
SPT(16)	2534237007391425767	0 12 54 72 90 134 182 224 252 294 342 386 404 422 464 476	595632502218
SPT(16)	2534237062858177577	0 14 24 42 50 80 92 132 182 222 234 264 272 290 300 314	651099254028
SPT(16)	2534237529107002783	0 18 70 88 96 108 120 130 204 214 226 238 246 264 316 334	1117348079234
SPT(16)	2534237625720467461	0 16 22 28 46 90 120 160 168 208 238 282 300 306 312 328	1213961543912