Prime p₀= 2118833568142896821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 28 2 58 2 118 2 16 2 (?)
a_n: 0 2 60 62 138 140 168 170 228 230 348 350 366 368
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: 368
Found by: ChUcK
db: batch=80, k=14, 58 76 28 58 118 16

SPT(18)	2118832433135689123	0 4 6 10 24 28 66 76 88 156 168 178 216 220 234 238 240 244	-1135007207698
STPT(10)	2118832532404359659	0 2 18 20 30 32 42 44 60 62	-1035738537162
STPT(10)	2118832651262654849	0 2 18 20 30 32 42 44 60 62	-916880241972
STPT(10)	2118832679156761637	0 2 24 26 42 44 60 62 84 86	-888986135184
STPT(10)	2118832883095451267	0 2 42 44 132 134 222 224 264 266	-685047445554
SPT(13)	2118833520575339929	0 30 60 138 144 168 204 240 264 270 348 378 408	-47567556892
STPT(10)	2118833915528950259	0 2 12 14 90 92 168 170 180 182	347386053438
TPT(14)	2118834101399965679	0 2 90 92 162 164 168 170 198 200 228 230 240 242	533257068858
TPT(14)	2118834187760112869	0 2 12 14 72 74 90 92 138 140 198 200 222 224	619617216048
SPT(16)	2118834237722471497	0 40 46 114 144 180 226 244 252 270 316 352 382 450 456 496	669579574676
SPT(16)	2118834239965238923	0 36 46 64 138 298 330 336 358 364 396 556 630 648 658 694	671822342102