Prime p₀= 944018793939294317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 130 2 28 2 4 2 22 2 64 2 (?)
a_n: 0 2 102 104 234 236 264 266 270 272 294 296 360 362
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: 362
Found by: stoneageman
db: batch=76, k=14, 100 130 28 4 22 64

STPT(10)	944017889918358779	0 2 18 20 30 32 42 44 60 62	-904020935538
SPT(16)	944017934627147641	0 18 28 30 46 60 66 72 106 112 118 132 148 150 160 178	-859312146676
SPT(16)	944018662818793867	0 6 30 34 84 90 112 154 162 204 226 232 282 286 310 316	-131120500450
SPT(16)	944018702304839479	0 40 82 108 114 138 168 178 264 274 304 328 334 360 402 442	-91634454838
SPT(16)	944018753724330637	0 12 16 126 136 210 244 250 276 282 316 390 400 510 514 526	-40214963680
SPT(16)	944018790055344917	0 6 42 62 84 110 162 176 180 194 246 272 294 314 350 356	-3883949400
SPT(16)	944019073393272407	0 14 32 42 66 72 84 114 152 182 194 200 224 234 252 266	279453978090
STPT(10)	944019445870535789	0 2 18 20 30 32 42 44 60 62	651931241472
SPT(16)	944019782381541829	0 22 42 52 60 162 168 190 192 214 220 322 330 340 360 382	988442247512
SPT(16)	944019793416452147	0 24 84 92 96 120 134 150 206 222 236 260 264 272 332 356	999477157830
TPT(14)	944019884130016709	0 2 30 32 42 44 72 74 78 80 210 212 222 224	1090190722392