Prime p₀= 2261717611097497667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 16 2 118 2 40 2 16 2 58 2 (?)
a_n: 0 2 114 116 132 134 252 254 294 296 312 314 372 374
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: 374
Found by: Marion1
db: batch=81, k=14, 112 16 118 40 16 58

SPT(13)	2261715978711834367	0 24 42 72 90 144 192 240 294 312 342 360 384	-1632385663300
SPT(16)	2261716112171458651	0 22 36 42 48 70 88 112 126 150 168 190 196 202 216 238	-1498926039016
TPT(14)	2261716154301059879	0 2 12 14 78 80 132 134 222 224 258 260 300 302	-1456796437788
STPT(10)	2261716490670378011	0 2 6 8 48 50 90 92 96 98	-1120427119656
SPT(16)	2261716832686918307	0 44 56 60 84 110 156 176 204 224 270 296 320 324 336 380	-778410579360
STPT(10)	2261717092537729859	0 2 48 50 90 92 132 134 180 182	-518559767808
STPT(10)	2261717714993962409	0 2 18 20 30 32 42 44 60 62	103896464742
STPT(10)	2261717821627883147	0 2 60 62 72 74 84 86 144 146	210530385480
TPT(14)	2261717938775164979	0 2 18 20 180 182 222 224 270 272 282 284 300 302	327677667312
STPT(10)	2261718449516215757	0 2 60 62 72 74 84 86 144 146	838418718090
SPT(16)	2261718738995579251	0 10 72 78 100 136 166 168 190 192 222 258 280 286 348 358	1127898081584