Prime p₀= 1095266603538975731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 100 2 10 2 94 2 58 2 10 2 (?)
a_n: 0 2 6 8 108 110 120 122 216 218 276 278 288 290
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: 290
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 4 100 10 94 58 10

SPT(16)	1095265325334024127	0 34 70 72 100 106 136 150 166 180 210 216 244 246 282 316	-1278204951604
TPT(14)	1095265339614796169	0 2 72 74 138 140 150 152 180 182 408 410 492 494	-1263924179562
TPT(14)	1095265738873239137	0 2 12 14 72 74 84 86 120 122 150 152 162 164	-864665736594
SPT(16)	1095265801098607373	0 20 26 30 60 86 114 138 146 170 198 224 254 258 264 284	-802440368358
STPT(10)	1095265868844218501	0 2 78 80 108 110 138 140 216 218	-734694757230
STPT(10)	1095266087253152999	0 2 30 32 60 62 90 92 120 122	-516285822732
STPT(10)	1095266725142929481	0 2 6 8 18 20 30 32 36 38	121603953750
TPT(14)	1095266920661917481	0 2 18 20 36 38 168 170 210 212 240 242 288 290	317122941750
SPT(16)	1095266986037546149	0 34 48 58 72 142 172 178 234 240 270 340 354 364 378 412	382498570418
SPT(16)	1095267211327020691	0 12 36 40 78 82 108 142 246 280 306 310 348 352 376 388	607788044960
SPT(16)	1095267842345615921	0 12 38 48 78 90 126 188 210 272 308 320 350 360 386 398	1238806640190