Prime p₀= 741739887175622891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 16 2 112 2 76 2 28 2 (?)
a_n: 0 2 48 50 78 80 96 98 210 212 288 290 318 320
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: 320
Found by: Theadalus
db: batch=73, k=14, 46 28 16 112 76 28

STPT(10)	741737709798755639	0 2 12 14 30 32 48 50 60 62	-2177376867252
SPT(16)	741737904117012037	0 16 30 60 76 130 132 160 222 250 252 306 322 352 366 382	-1983058610854
STPT(10)	741738547004518541	0 2 30 32 78 80 126 128 156 158	-1340171104350
SPT(16)	741738769213270373	0 20 24 30 48 90 114 150 164 200 224 266 284 290 294 314	-1117962352518
STPT(10)	741738870557881289	0 2 30 32 60 62 90 92 120 122	-1016617741602
SPT(16)	741739237431924049	0 28 42 54 94 120 168 184 258 274 322 348 388 400 414 442	-649743698842
SPT(16)	741740285567361277	0 40 70 72 136 204 256 280 306 330 382 450 514 516 546 586	398391738386
SPT(16)	741740374986381389	0 12 38 72 80 90 108 128 132 152 170 180 188 222 248 260	487810758498
SPT(16)	741740445154873781	0 2 8 12 30 50 66 96 152 182 198 218 236 240 246 248	557979250890
STPT(10)	741740548474625507	0 2 42 44 132 134 222 224 264 266	661299002616
SPT(16)	741740840309017033	0 6 16 36 60 84 108 136 168 196 220 244 268 288 298 304	953133394142