Prime p₀= 994240750192122317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 130 2 148 2 46 2 10 2 (?)
a_n: 0 2 54 56 132 134 264 266 414 416 462 464 474 476
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: 476
Found by: crashtech
db: batch=76, k=14, 52 76 130 148 46 10

SPT(18)	994239806028302579	0 18 20 42 50 72 78 98 102 128 132 152 158 180 188 210 212 230	-944163819738
STPT(10)	994239860149182371	0 2 6 8 48 50 90 92 96 98	-890042939946
TPT(14)	994240124030105999	0 2 72 74 90 92 132 134 138 140 168 170 228 230	-626162016318
SPT(16)	994240369074122789	0 12 72 80 90 114 120 132 170 182 188 212 222 230 290 302	-381117999528
STPT(10)	994240517281578527	0 2 30 32 102 104 174 176 204 206	-232910543790
SPT(16)	994240589906746099	0 4 40 82 88 108 112 124 198 210 214 234 240 282 318 322	-160285376218
STPT(10)	994240978576378781	0 2 96 98 108 110 120 122 216 218	228384256464
SPT(16)	994241147286222431	0 26 36 78 102 110 128 138 140 150 168 176 200 242 252 278	397094100114
STPT(10)	994241378406450929	0 2 18 20 30 32 42 44 60 62	628214328612
STPT(10)	994241504569813427	0 2 30 32 72 74 114 116 144 146	754377691110
STPT(10)	994241733690055061	0 2 30 32 78 80 126 128 156 158	983497932744