Prime p₀= 1280872419530357681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 28 2 70 2 40 2 34 2 (?)
a_n: 0 2 66 68 96 98 126 128 198 200 240 242 276 278
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: 278
Found by: Theadalus
db: batch=77, k=14, 64 28 28 70 40 34

STPT(10)	1280871932705064521	0 2 6 8 48 50 90 92 96 98	-486825293160
SPT(16)	1280871936222234841	0 6 42 58 108 148 160 172 216 228 240 280 330 346 382 388	-483308122840
STPT(10)	1280872019178040097	0 2 54 56 72 74 90 92 144 146	-400352317584
SPT(16)	1280872024862398739	0 8 18 24 60 68 78 108 170 200 210 218 254 260 270 278	-394667958942
SPT(16)	1280872264611575131	0 6 16 30 66 132 136 156 172 192 196 262 298 312 322 328	-154918782550
STPT(10)	1280872398549972257	0 2 30 32 42 44 54 56 84 86	-20980385424
STPT(10)	1280872611076483427	0 2 30 32 72 74 114 116 144 146	191546125746
STPT(10)	1280872686369055259	0 2 18 20 30 32 42 44 60 62	266838697578
STPT(10)	1280873359256147957	0 2 24 26 42 44 60 62 84 86	939725790276
SPT(16)	1280873512632099283	0 34 46 100 106 118 120 150 154 184 186 198 204 258 270 304	1093101741602
SPT(16)	1280873685649135849	0 12 22 60 84 118 174 190 192 208 264 298 322 360 370 382	1266118778168