Prime p₀= 934186644816372839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 16 2 70 2 76 2 40 2 (?)
a_n: 0 2 90 92 132 134 150 152 222 224 300 302 342 344
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: 344
Found by: Gumbo
db: batch=76, k=14, 88 40 16 70 76 40

STPT(10)	934185791933148407	0 2 42 44 72 74 102 104 144 146	-852883224432
TPT(14)	934185987164965721	0 2 90 92 180 182 198 200 240 242 258 260 300 302	-657651407118
SPT(16)	934186004746697617	0 52 66 106 126 136 160 172 234 246 270 280 300 340 354 406	-640069675222
STPT(10)	934186131900675089	0 2 42 44 60 62 78 80 120 122	-512915697750
SPT(16)	934186261241265661	0 10 30 40 52 66 82 96 256 270 286 300 312 322 342 352	-383575107178
SPT(16)	934186634740264817	0 2 30 32 60 72 80 120 212 252 260 272 300 302 330 332	-10076108022
SPT(16)	934186701901492927	0 4 16 30 34 46 52 84 142 174 180 192 196 210 222 226	57085120088
TPT(14)	934187151759004469	0 2 18 20 42 44 102 104 132 134 138 140 282 284	506942631630
SPT(16)	934187629269589567	0 4 10 36 46 70 96 112 144 160 186 210 220 246 252 256	984453216728
SPT(16)	934188018629915839	0 52 54 72 100 124 132 142 150 160 168 192 220 238 240 292	1373813543000
STPT(10)	934188033515438069	0 2 18 20 30 32 42 44 60 62	1388699065230