Prime p₀= 1095444055300846001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 88 2 40 2 16 2 52 2 4 2 (?)
a_n: 0 2 36 38 126 128 168 170 186 188 240 242 246 248
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: 248
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 34 88 40 16 52 4

SPT(16)	1095441693979466089	0 34 40 58 84 112 144 198 214 268 300 328 354 372 378 412	-2361321379912
SPT(16)	1095441842711042543	0 80 120 168 170 176 198 254 300 356 378 384 386 434 474 554	-2212589803458
SPT(16)	1095442142051380367	0 32 54 96 116 126 132 144 182 194 200 210 230 272 294 326	-1913249465634
STPT(10)	1095442303727717129	0 2 30 32 60 62 90 92 120 122	-1751573128872
STPT(10)	1095442660619908919	0 2 42 44 90 92 138 140 180 182	-1394680937082
SPT(16)	1095443058974885111	0 8 12 38 56 66 128 138 140 150 212 222 240 266 270 278	-996325960890
STPT(10)	1095444067627953227	0 2 30 32 60 62 90 92 120 122	12327107226
STPT(10)	1095444193296754907	0 2 12 14 72 74 132 134 144 146	137995908906
STPT(10)	1095444330068575769	0 2 42 44 60 62 78 80 120 122	274767729768
SPT(16)	1095444379604490463	0 6 48 60 108 136 150 184 270 304 318 346 394 406 448 454	324303644462
SPT(16)	1095444635321152957	0 102 136 172 190 210 240 282 304 346 376 396 414 450 484 586	580020306956