Prime p₀= 997718333018364707 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 106 2 22 2 28 2 16 2 (?)
a_n: 0 2 12 14 72 74 180 182 204 206 234 236 252 254
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: 254
Found by: Theadalus
db: batch=76, k=14, 10 58 106 22 28 16

SPT(16)	997717075768058383	0 28 40 48 84 90 96 108 136 148 154 160 196 204 216 244	-1257250306324
STPT(10)	997717297801413359	0 2 18 20 60 62 102 104 120 122	-1035216951348
SPT(16)	997717804152447683	0 30 60 110 128 140 188 200 378 390 438 450 468 518 548 578	-528865917024
SPT(16)	997718100262535117	0 32 60 90 102 104 114 162 182 230 240 242 254 284 312 344	-232755829590
SPT(16)	997718102674337743	0 108 154 156 168 184 196 238 366 408 420 436 448 450 496 604	-230344026964
STPT(10)	997718232535978319	0 2 42 44 60 62 78 80 120 122	-100482386388
STPT(10)	997718359421434757	0 2 30 32 42 44 54 56 84 86	26403070050
STPT(10)	997718438356922831	0 2 6 8 48 50 90 92 96 98	105338558124
SPT(16)	997718703708459223	0 58 100 154 168 190 196 240 274 318 324 346 360 414 456 514	370690094516
STPT(10)	997719110275514351	0 2 6 8 48 50 90 92 96 98	777257149644
STPT(10)	997719297340163309	0 2 18 20 30 32 42 44 60 62	964321798602