Prime p₀= 1062920973563711111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 22 2 58 2 118 2 46 2 (?)
a_n: 0 2 90 92 126 128 150 152 210 212 330 332 378 380
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: Theadalus
db: batch=76, k=14, 88 34 22 58 118 46

SPT(16)	1062918333739217227	0 12 54 72 90 94 100 112 114 126 132 136 154 172 214 226	-2639824493884
SPT(16)	1062918608794352237	0 2 6 20 26 32 50 72 74 96 114 120 126 140 144 146	-2364769358874
SPT(16)	1062918659776359257	0 42 62 84 104 114 132 170 174 212 230 240 260 282 302 344	-2313787351854
STPT(10)	1062920074205020637	0 2 60 62 72 74 84 86 144 146	-899358690474
SPT(16)	1062920249879142859	0 12 64 84 100 124 130 172 180 222 228 252 268 288 340 352	-723684568252
TPT(14)	1062920364651898391	0 2 18 20 60 62 210 212 216 218 270 272 330 332	-608911812720
STPT(10)	1062921007513311641	0 2 36 38 78 80 120 122 156 158	33949600530
SPT(16)	1062921529749721241	0 12 42 48 110 120 150 168 230 248 278 288 350 356 386 398	556186010130
STPT(10)	1062921925634498087	0 2 30 32 72 74 114 116 144 146	952070786976
SPT(16)	1062921937446533803	0 36 48 78 88 130 150 168 196 214 234 276 286 316 328 364	963882822692
SPT(16)	1062922248976783787	0 56 60 62 92 114 126 144 242 260 272 294 324 326 330 386	1275413072676