Prime p₀= 2303426471943346931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 34 2 28 2 82 2 28 2 (?)
a_n: 0 2 18 20 60 62 96 98 126 128 210 212 240 242
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: 242
Found by: Vato
db: batch=81, k=14, 16 40 34 28 82 28

SPT(16)	2303425176713090029	0 4 22 34 70 118 150 160 162 172 204 252 288 300 318 322	-1295230256902
SPT(16)	2303425406122951469	0 30 42 62 84 102 108 128 144 164 170 188 210 230 242 272	-1065820395462
STPT(10)	2303425647896544287	0 2 30 32 42 44 54 56 84 86	-824046802644
SPT(16)	2303425760269959001	0 18 40 42 46 52 136 150 208 222 306 312 316 318 340 358	-711673387930
STPT(10)	2303425931680182191	0 2 36 38 78 80 120 122 156 158	-540263164740
STPT(10)	2303425959727959719	0 2 30 32 120 122 210 212 240 242	-512215387212
SPT(16)	2303426826218549797	0 10 34 76 90 106 124 156 160 192 210 226 240 282 306 316	354275202866
STPT(10)	2303426932294620929	0 2 18 20 30 32 42 44 60 62	460351273998
SPT(13)	2303426945369552699	0 12 42 48 60 78 90 102 120 132 138 168 180	473426205768
STPT(10)	2303427010888146917	0 2 42 44 72 74 102 104 144 146	538944799986
SPT(16)	2303427270893299357	0 4 10 16 52 60 102 136 210 244 286 294 330 336 342 346	798949952426