Prime p₀= 2261239599150759551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 88 2 34 2 28 2 22 2 (?)
a_n: 0 2 18 20 30 32 120 122 156 158 186 188 210 212
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: 212
Found by: Orange Kid
db: batch=81, k=14, 16 10 88 34 28 22

SPT(16)	2261238341066035013	0 48 134 140 170 174 198 210 224 236 260 264 294 300 386 434	-1258084724538
SPT(16)	2261238412468280677	0 34 40 42 60 76 82 124 132 174 180 196 214 216 222 256	-1186682478874
SPT(16)	2261238500194089967	0 66 70 84 96 130 162 204 262 304 336 370 382 396 400 466	-1098956669584
STPT(10)	2261238916231929119	0 2 48 50 90 92 132 134 180 182	-682918830432
STPT(10)	2261238955898228519	0 2 12 14 90 92 168 170 180 182	-643252531032
SPT(16)	2261239395499212781	0 22 28 48 52 60 72 156 232 316 328 336 340 360 366 388	-203651546770
SPT(16)	2261239629082000213	0 28 34 76 100 126 150 154 180 184 208 234 258 300 306 334	29931240662
SPT(16)	2261239629860940163	0 24 40 84 94 100 178 184 204 210 288 294 304 348 364 388	30710180612
SPT(16)	2261240560977598051	0 52 60 66 76 78 82 112 186 216 220 222 232 238 246 298	961826838500
TPT(14)	2261240656739538491	0 2 90 92 108 110 180 182 210 212 246 248 330 332	1057588778940
SPT(16)	2261240781230336771	0 48 62 180 192 210 258 272 306 320 368 386 398 516 530 578	1182079577220