Prime p₀= 1113328798531662341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 100 2 28 2 70 2 4 2 142 2 (?)
a_n: 0 2 66 68 168 170 198 200 270 272 276 278 420 422
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: 422
Found by: Theadalus
db: batch=76, k=14, 64 100 28 70 4 142

STPT(10)	1113326940433961507	0 2 42 44 72 74 102 104 144 146	-1858097700834
SPT(16)	1113327348572859293	0 38 44 54 80 86 96 98 156 158 168 174 200 210 216 254	-1449958803048
SPT(16)	1113327495929669549	0 12 18 42 50 78 138 158 162 182 242 270 278 302 308 320	-1302601992792
SPT(16)	1113327905947067311	0 28 96 112 120 138 156 160 168 172 190 208 216 232 300 328	-892584595030
TPT(14)	1113328201984779689	0 2 72 74 108 110 192 194 228 230 240 242 252 254	-596546882652
SPT(20)	1113328449714230999	0 2 30 44 62 72 90 140 182 204 278 300 342 392 410 420 438 452 480 482	-348817431342
STPT(10)	1113328840186147199	0 2 18 20 30 32 42 44 60 62	41654484858
SPT(16)	1113328919523879991	0 30 58 66 130 210 232 286 312 366 388 468 532 540 568 598	120992217650
STPT(10)	1113329023093774211	0 2 6 8 48 50 90 92 96 98	224562111870
SPT(16)	1113329272936158029	0 8 14 30 78 114 120 164 168 212 218 254 302 318 324 332	474404495688
STPT(10)	1113329355572132561	0 2 30 32 78 80 126 128 156 158	557040470220