Prime p₀= 800453857761268019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 64 2 70 2 118 2 16 2 (?)
a_n: 0 2 12 14 72 74 138 140 210 212 330 332 348 350
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: 350
Found by: Tom Poleski
db: batch=73, k=14, 10 58 64 70 118 16

STPT(10)	800452333009647299	0 2 18 20 60 62 102 104 120 122	-1524751620720
SPT(16)	800452390214013961	0 22 36 46 118 120 160 172 186 198 238 240 312 322 336 358	-1467547254058
STPT(10)	800453320887474011	0 2 6 8 18 20 30 32 36 38	-536873794008
STPT(10)	800453576118002801	0 2 36 38 78 80 120 122 156 158	-281643265218
SPT(16)	800453627772364913	0 54 68 98 114 120 138 144 194 200 218 224 240 270 284 338	-229988903106
SPT(16)	800453714805790769	0 12 38 84 128 132 138 170 192 224 230 234 278 324 350 362	-142955477250
SPT(16)	800453918873067583	0 24 40 66 70 88 90 150 274 334 336 354 358 384 400 424	61111799564
SPT(16)	800454148377516341	0 36 66 80 108 120 140 156 170 186 206 218 246 260 290 326	290616248322
STPT(10)	800454457035536489	0 2 18 20 30 32 42 44 60 62	599274268470
SPT(16)	800454567695334919	0 22 90 94 100 120 154 168 184 198 232 252 258 262 330 352	709934066900
SPT(16)	800455106595535649	0 24 38 44 62 90 98 104 108 114 122 150 168 174 188 212	1248834267630