Prime p₀= 2293627477157302961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 70 2 28 2 136 2 52 2 4 2 (?)
a_n: 0 2 36 38 108 110 138 140 276 278 330 332 336 338
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: 338
Found by: paulteo
db: batch=81, k=14, 34 70 28 136 52 4

SPT(18)	2293626575314044413	0 44 56 60 84 128 134 146 158 186 198 210 216 260 284 288 300 344	-901843258548
SPT(16)	2293626854347786021	0 16 60 70 78 88 126 136 162 172 210 220 228 238 282 298	-622809516940
SPT(16)	2293626935692056581	0 8 12 38 60 66 80 92 126 138 152 158 180 206 210 218	-541465246380
STPT(10)	2293627006712398241	0 2 96 98 108 110 120 122 216 218	-470444904720
SPT(16)	2293627144837264469	0 8 32 62 74 80 132 168 224 260 312 318 330 360 384 392	-332320038492
STPT(10)	2293627444926109049	0 2 18 20 30 32 42 44 60 62	-32231193912
SPT(16)	2293627546157302189	0 42 52 60 72 84 94 102 112 120 130 142 154 162 172 214	68999999228
SPT(16)	2293627561860513181	0 6 28 42 76 112 186 210 238 262 336 372 406 420 442 448	84703210220
SPT(16)	2293627567305012079	0 22 30 40 52 82 102 154 180 232 252 282 294 304 312 334	90147709118
STPT(10)	2293627996186238207	0 2 12 14 42 44 72 74 84 86	519028935246
STPT(10)	2293628112702006929	0 2 30 32 60 62 90 92 120 122	635544703968