Prime p₀= 1235335042743638399 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 52 2 76 2 40 2 88 2 46 2 (?)
a_n: 0 2 78 80 132 134 210 212 252 254 342 344 390 392
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: 392
Found by: Cruncher Pete
db: batch=77, k=14, 76 52 76 40 88 46

STPT(10)	1235334141300875981	0 2 30 32 78 80 126 128 156 158	-901442762418
STPT(10)	1235334232618412651	0 2 6 8 48 50 90 92 96 98	-810125225748
STPT(10)	1235334253917472517	0 2 54 56 72 74 90 92 144 146	-788826165882
SPT(16)	1235334296894118419	0 8 18 32 42 78 110 122 180 192 224 260 270 284 294 302	-745849519980
SPT(16)	1235334386763573661	0 12 42 48 66 112 132 138 160 166 186 232 250 256 286 298	-655980064738
SPT(16)	1235334397454443777	0 54 100 156 186 190 274 322 324 372 456 460 490 546 592 646	-645289194622
SPT(16)	1235335715478305767	0 6 30 42 72 100 126 144 172 190 216 244 274 286 310 316	672734667368
STPT(10)	1235335728834061121	0 2 36 38 78 80 120 122 156 158	686090422722
STPT(10)	1235335732928538251	0 2 36 38 108 110 180 182 216 218	690184899852
STPT(10)	1235335842096777527	0 2 12 14 42 44 72 74 84 86	799353139128
SPT(16)	1235336160628149389	0 14 20 42 50 54 78 110 132 164 188 192 200 222 228 242	1117884510990