Prime p₀= 2960320392276974759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 16 2 40 2 118 2 16 2 70 2 (?)
a_n: 0 2 240 242 258 260 300 302 420 422 438 440 510 512
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: 512
Found by: Landjunge
db: batch=82, k=14, 238 16 40 118 16 70

STPT(10)	2960318612654073257	0 2 30 32 72 74 114 116 144 146	-1779622901502
SPT(16)	2960318829804221617	0 34 40 42 54 76 120 142 144 166 210 232 244 246 252 286	-1562472753142
SPT(16)	2960319076020343861	0 66 70 82 108 132 150 160 168 178 196 220 246 258 262 328	-1316256630898
STPT(10)	2960319277389035501	0 2 30 32 60 62 90 92 120 122	-1114887939258
SPT(16)	2960319288442717373	0 90 98 156 168 188 200 236 258 294 306 326 338 396 404 494	-1103834257386
STPT(10)	2960319620778285971	0 2 6 8 18 20 30 32 36 38	-771498688788
SPT(16)	2960320685241041779	0 40 100 118 132 172 174 180 202 208 210 250 264 282 342 382	292964067020
SPT(16)	2960321205750196283	0 36 48 56 98 114 140 168 176 204 230 246 288 296 308 344	813473221524
STPT(10)	2960321391360846221	0 2 36 38 78 80 120 122 156 158	999083871462
SPT(16)	2960321510494705249	0 22 34 48 54 58 78 88 114 124 144 148 154 168 180 202	1118217730490
TPT(14)	2960321955392233967	0 2 12 14 54 56 84 86 150 152 162 164 192 194	1563115259208