Prime p₀= 907344296595504809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 34 2 40 2 88 2 136 2 (?)
a_n: 0 2 42 44 72 74 108 110 150 152 240 242 378 380
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: 380
Found by: HenkM
db: batch=76, k=14, 40 28 34 40 88 136

SPT(16)	907343836173074533	0 36 78 84 106 120 126 150 154 178 184 198 220 226 268 304	-460422430276
STPT(10)	907343850373121801	0 2 6 8 48 50 90 92 96 98	-446222383008
SPT(16)	907343957820931811	0 26 96 110 120 138 180 182 186 188 230 248 258 272 342 368	-338774572998
SPT(16)	907344106659914243	0 36 38 50 56 80 108 138 146 176 204 228 234 246 248 284	-189935590566
SPT(16)	907344120699400757	0 14 32 42 60 72 102 104 240 242 272 284 302 312 330 344	-175896104052
SPT(16)	907344134831188099	0 24 28 30 40 52 94 114 148 168 210 222 232 234 238 262	-161764316710
SPT(16)	907344355955584517	0 6 50 60 80 102 104 152 174 222 224 246 266 276 320 326	59360079708
SPT(16)	907344427788583643	0 6 18 48 80 96 110 134 150 174 188 204 236 266 278 284	131193078834
STPT(10)	907344441451789961	0 2 6 8 48 50 90 92 96 98	144856285152
STPT(10)	907345681026878909	0 2 12 14 30 32 48 50 60 62	1384431374100
SPT(16)	907345715427179449	0 22 24 70 72 94 102 172 420 490 498 520 522 568 570 592	1418831674640