Prime p₀= 3947960081302219391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 58 2 148 2 10 2 10 2 (?)
a_n: 0 2 36 38 66 68 126 128 276 278 288 290 300 302
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: 302
Found by: mikey
db: batch=84, k=14, 34 28 58 148 10 10

SPT(16)	3947959241363618557	0 10 42 102 154 180 192 196 240 244 256 282 334 394 426 436	-839938600834
SPT(16)	3947959422860730427	0 16 42 66 96 126 160 282 304 426 460 490 520 544 570 586	-658441488964
TPT(14)	3947959817882014577	0 2 84 86 144 146 192 194 210 212 264 266 294 296	-263420204814
STPT(10)	3947959824040790741	0 2 78 80 138 140 198 200 276 278	-257261428650
SPT(16)	3947959955422542019	0 52 70 90 114 168 178 202 210 234 244 298 322 342 360 412	-125879677372
STPT(10)	3947959999351255997	0 2 42 44 132 134 222 224 264 266	-81950963394
SPT(16)	3947960255886361903	0 24 28 30 40 58 66 70 114 118 126 144 154 156 160 184	174584142512
SPT(16)	3947961467918203091	0 6 12 56 68 72 102 146 222 266 296 300 312 356 362 368	1386615983700
STPT(10)	3947961679030089179	0 2 18 20 30 32 42 44 60 62	1597727869788
SPT(16)	3947961755391666767	0 6 14 20 42 54 74 96 110 132 152 164 186 192 200 206	1674089447376
SPT(16)	3947961861698749613	0 54 90 138 140 168 176 180 224 228 236 264 266 314 350 404	1780396530222