Prime p₀= 1080721151001926849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 58 2 94 2 22 2 4 2 (?)
a_n: 0 2 30 32 72 74 132 134 228 230 252 254 258 260
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: 260
Found by: Theadalus
db: batch=76, k=14, 28 40 58 94 22 4

SPT(16)	1080720096488515369	0 28 52 84 94 138 162 174 238 250 274 318 328 360 384 412	-1054513411480
STPT(10)	1080720480866788031	0 2 6 8 48 50 90 92 96 98	-670135138818
SPT(16)	1080720879824432059	0 10 52 72 120 142 154 184 288 318 330 352 400 420 462 472	-271177494790
STPT(10)	1080720955077222629	0 2 18 20 30 32 42 44 60 62	-195924704220
STPT(10)	1080721053371372261	0 2 30 32 60 62 90 92 120 122	-97630554588
TPT(14)	1080721070163033197	0 2 54 56 84 86 120 122 150 152 162 164 264 266	-80838893652
SPT(16)	1080721216160957407	0 4 22 54 64 84 192 240 346 394 502 522 532 564 582 586	65159030558
SPT(16)	1080721264253163191	0 18 42 50 68 80 98 102 116 120 138 150 168 176 200 218	113251236342
SPT(16)	1080721565318277191	0 2 60 72 80 86 92 116 126 150 156 162 170 182 240 242	414316350342
TPT(14)	1080721647889407737	0 2 24 26 204 206 252 254 330 332 360 362 432 434	496887480888
SPT(16)	1080722107290621779	0 20 44 54 74 78 120 132 140 152 194 198 218 228 252 272	956288694930