Prime p₀= 945315021555286619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 136 2 40 2 28 2 28 2 (?)
a_n: 0 2 42 44 72 74 210 212 252 254 282 284 312 314
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: stoneageman
db: batch=76, k=14, 40 28 136 40 28 28

SPT(16)	945313570802213957	0 54 56 116 134 194 200 204 242 246 252 312 330 390 392 446	-1450753072662
STPT(10)	945313661749011221	0 2 6 8 18 20 30 32 36 38	-1359806275398
SPT(16)	945313979260775881	0 40 66 108 150 168 172 186 262 276 280 298 340 382 408 448	-1042294510738
SPT(16)	945314192502185491	0 18 40 58 76 90 130 138 160 168 208 222 240 258 280 298	-829053101128
STPT(10)	945314347767486251	0 2 36 38 78 80 120 122 156 158	-673787800368
SPT(16)	945314938482646951	0 30 36 58 60 120 130 186 202 258 268 328 330 352 358 388	-83072639668
STPT(10)	945315112049339531	0 2 90 92 108 110 126 128 216 218	90494052912
SPT(16)	945315274720661753	0 6 38 54 96 104 116 168 206 258 270 278 320 336 368 374	253165375134
SPT(16)	945315434498629141	0 10 16 22 30 76 90 132 136 178 192 238 246 252 258 268	412943342522
SPT(16)	945315610213022089	0 34 144 160 172 202 228 244 318 334 360 390 402 418 528 562	588657735470
SPT(16)	945316398711572131	0 12 66 150 156 166 180 222 280 322 336 346 352 436 490 502	1377156285512