Prime p₀= 725804784170026271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 40 2 34 2 28 2 172 2 (?)
a_n: 0 2 6 8 18 20 60 62 96 98 126 128 300 302
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: 302
Found by: RFGuy_KCCO
db: batch=73, k=14, 4 10 40 34 28 172

SPT(16)	725803879117095689	0 42 50 54 72 92 108 164 198 254 270 290 308 312 320 362	-905052930582
STPT(10)	725804006918804027	0 2 30 32 42 44 54 56 84 86	-777251222244
TPT(14)	725804426391184139	0 2 60 62 72 74 102 104 108 110 138 140 150 152	-357778842132
STPT(12)	725804426391184199	0 2 12 14 42 44 48 50 78 80 90 92	-357778842072
SPT(16)	725804497319092003	0 30 40 66 106 108 126 180 196 250 268 270 310 336 346 376	-286850934268
STPT(10)	725804513617304657	0 2 30 32 42 44 54 56 84 86	-270552721614
SPT(16)	725804996123602027	0 34 36 84 106 112 156 180 226 250 294 300 322 370 372 406	211953575756
SPT(16)	725805314468427481	0 16 46 70 100 106 120 136 156 172 186 192 222 246 276 292	530298401210
STPT(10)	725805475796594519	0 2 18 20 30 32 42 44 60 62	691626568248
SPT(16)	725805626229150079	0 34 78 82 84 138 142 184 228 270 274 328 330 334 378 412	842059123808
STPT(10)	725805626299852361	0 2 6 8 48 50 90 92 96 98	842129826090