Prime p₀= 2077113080789134961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 70 2 106 2 58 2 28 2 10 2 (?)
a_n: 0 2 126 128 198 200 306 308 366 368 396 398 408 410
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: 410
Found by: JonS
db: batch=80, k=14, 124 70 106 58 28 10

STPT(10)	2077111540347019619	0 2 42 44 60 62 78 80 120 122	-1540442115342
SPT(16)	2077111660794890669	0 24 32 50 54 60 98 102 140 144 182 188 192 210 218 242	-1419994244292
SPT(16)	2077111937608791751	0 120 132 136 150 192 220 246 316 342 370 412 426 430 442 562	-1143180343210
STPT(10)	2077111950953488661	0 2 36 38 78 80 120 122 156 158	-1129835646300
TPT(14)	2077112141490972329	0 2 30 32 78 80 102 104 168 170 198 200 258 260	-939298162632
STPT(10)	2077112994860298347	0 2 30 32 42 44 54 56 84 86	-85928836614
STPT(10)	2077113780492999749	0 2 48 50 90 92 132 134 180 182	699703864788
STPT(10)	2077113898696378151	0 2 30 32 78 80 126 128 156 158	817907243190
SPT(16)	2077114017050709251	0 2 6 20 60 96 98 138 200 240 242 278 318 332 336 338	936261574290
TPT(14)	2077114454076550307	0 2 84 86 102 104 210 212 324 326 354 356 462 464	1373287415346
SPT(18)	2077114775239865159	0 2 8 14 38 152 164 218 252 320 354 408 420 534 558 564 570 572	1694450730198