Prime p₀= 928867688847449621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 16 2 58 2 10 2 166 2 (?)
a_n: 0 2 90 92 138 140 156 158 216 218 228 230 396 398
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: 398
Found by: HenkM
db: batch=76, k=14, 88 46 16 58 10 166

SPT(16)	928866462663832247	0 24 36 86 90 104 120 122 174 176 192 206 210 260 272 296	-1226183617374
SPT(16)	928866470830985881	0 36 60 82 88 108 112 126 172 186 190 210 216 238 262 298	-1218016463740
SPT(16)	928866636999808343	0 44 48 68 114 128 134 140 168 174 180 194 240 260 264 308	-1051847641278
STPT(10)	928866684385087949	0 2 42 44 90 92 138 140 180 182	-1004462361672
STPT(10)	928866690807026591	0 2 6 8 48 50 90 92 96 98	-998040423030
STPT(10)	928866873228402929	0 2 18 20 30 32 42 44 60 62	-815619046692
SPT(16)	928867882291615949	0 18 20 30 44 60 134 144 158 168 242 258 272 282 284 302	193444166328
SPT(16)	928868229615001007	0 2 14 36 50 56 72 92 114 134 150 156 170 192 204 206	540767551386
TPT(14)	928868547950802521	0 2 18 20 60 62 108 110 126 128 138 140 228 230	859103352900
STPT(10)	928868611009977731	0 2 30 32 60 62 90 92 120 122	922162528110
TPT(14)	928868691224329787	0 2 42 44 72 74 84 86 120 122 180 182 222 224	1002376880166