Prime p₀= 3017917931363855339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 28 2 28 2 58 2 22 2 (?)
a_n: 0 2 72 74 78 80 108 110 138 140 198 200 222 224
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: 224
Found by: [SG-FC] hl
db: batch=82, k=14, 70 4 28 28 58 22

SPT(16)	3017917279714913119	0 10 12 48 60 78 84 154 228 298 304 322 334 370 372 382	-651648942220
SPT(16)	3017917584907618949	0 8 20 24 48 50 78 90 98 110 138 140 164 168 180 188	-346456236390
SPT(16)	3017917587748019641	0 12 42 70 138 142 150 198 220 268 276 280 348 376 406 418	-343615835698
SPT(16)	3017917769966457971	0 2 18 42 72 96 152 156 242 246 302 326 356 380 396 398	-161397397368
STPT(10)	3017917809793800239	0 2 18 20 30 32 42 44 60 62	-121570055100
TPT(14)	3017917923915603671	0 2 18 20 96 98 156 158 186 188 216 218 228 230	-7448251668
STPT(10)	3017918173238485241	0 2 6 8 48 50 90 92 96 98	241874629902
SPT(16)	3017918339191150049	0 12 14 30 62 98 128 134 348 354 384 420 452 468 470 482	407827294710
SPT(16)	3017918496458995223	0 66 68 98 110 120 134 150 194 210 224 234 246 276 278 344	565095139884
SPT(16)	3017918787536471681	0 32 36 90 98 158 198 228 230 260 300 360 368 422 426 458	856172616342
SPT(16)	3017919178577462113	0 6 30 94 198 226 286 294 400 408 468 496 600 664 688 694	1247213606774