Prime p₀= 2298092909956591157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 16 2 28 2 22 2 16 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 114 116 132 134
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: 134
Found by: Landjunge
db: batch=81, k=14, 10 28 16 28 22 16

SPT(16)	2298091642834026239	0 2 12 68 74 90 102 114 158 170 182 198 204 260 270 272	-1267122564918
SPT(16)	2298091691939055671	0 18 26 38 72 80 116 128 150 162 198 206 240 252 260 278	-1218017535486
SPT(16)	2298092258099998417	0 22 24 46 84 102 114 120 136 142 154 172 210 232 234 256	-651856592740
STPT(10)	2298092366445143531	0 2 6 8 48 50 90 92 96 98	-543511447626
TPT(14)	2298092638248357479	0 2 18 20 42 44 48 50 102 104 198 200 240 242	-271708233678
STPT(10)	2298092639021366951	0 2 30 32 78 80 126 128 156 158	-270935224206
SPT(16)	2298093008803910191	0 18 42 66 126 132 142 156 172 186 196 202 262 286 310 328	98847319034
STPT(10)	2298093667342096361	0 2 36 38 108 110 180 182 216 218	757385505204
TPT(14)	2298093946714379717	0 2 12 14 114 116 120 122 192 194 222 224 324 326	1036757788560
SPT(16)	2298093967902561781	0 42 66 78 82 120 166 168 190 192 238 276 280 292 316 358	1057945970624
STPT(10)	2298094654923990227	0 2 30 32 42 44 54 56 84 86	1744967399070