Prime p₀= 3012806881260325307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 136 2 10 2 46 2 28 2 10 2 (?)
a_n: 0 2 72 74 210 212 222 224 270 272 300 302 312 314
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: 314
Found by: Alnitak2019
db: batch=82, k=14, 70 136 10 46 28 10

STPT(10)	3012806247561047219	0 2 42 44 60 62 78 80 120 122	-633699278088
STPT(10)	3012806387429812451	0 2 30 32 78 80 126 128 156 158	-493830512856
STPT(10)	3012806392769952671	0 2 6 8 48 50 90 92 96 98	-488490372636
SPT(16)	3012806522442790751	0 2 38 60 80 86 126 140 168 182 222 228 248 270 306 308	-358817534556
SPT(16)	3012806673873466553	0 20 66 68 116 180 230 284 300 354 404 468 516 518 564 584	-207386858754
SPT(16)	3012806773281545089	0 40 48 64 124 142 198 202 240 244 300 318 378 394 402 442	-107978780218
SPT(16)	3012806925281550757	0 6 10 16 34 52 76 112 114 150 174 192 210 216 220 226	44021225450
STPT(10)	3012807611223859037	0 2 30 32 42 44 54 56 84 86	729963533730
STPT(10)	3012807690465560087	0 2 60 62 72 74 84 86 144 146	809205234780
SPT(16)	3012807784633073489	0 18 54 102 110 132 138 164 168 194 200 222 230 278 314 332	903372748182
SPT(16)	3012807959587610963	0 8 38 78 116 150 164 176 258 270 284 318 356 396 426 434	1078327285656