Prime p₀= 2326634559779169371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 64 2 88 2 10 2 10 2 (?)
a_n: 0 2 6 8 30 32 96 98 186 188 198 200 210 212
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: 212
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 4 22 64 88 10 10

SPT(16)	2326633471037334553	0 6 30 48 100 120 136 138 178 180 196 216 268 286 310 316	-1088741834818
SPT(16)	2326633873751843759	0 12 24 32 78 90 108 120 122 134 152 164 210 218 230 242	-686027325612
SPT(16)	2326634044682098729	0 12 22 70 114 132 142 160 204 222 232 250 294 342 352 364	-515097070642
TPT(14)	2326634174643191891	0 2 36 38 78 80 168 170 186 188 240 242 258 260	-385135977480
SPT(16)	2326634238034784231	0 12 38 56 60 78 80 102 116 138 140 158 162 180 206 218	-321744385140
TPT(14)	2326634540280828059	0 2 18 20 198 200 258 260 282 284 300 302 330 332	-19498341312
TPT(14)	2326634568645086387	0 2 114 116 120 122 252 254 354 356 372 374 462 464	8865917016
TPT(14)	2326635035830255937	0 2 24 26 54 56 120 122 150 152 204 206 222 224	476051086566
STPT(10)	2326635150259194947	0 2 12 14 42 44 72 74 84 86	590480025576
STPT(10)	2326635291548047097	0 2 90 92 102 104 114 116 204 206	731768877726
TPT(14)	2326635357123912299	0 2 78 80 90 92 168 170 180 182 252 254 288 290	797344742928