Prime p₀= 2396270840876926619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 22 2 64 2 28 2 40 2 (?)
a_n: 0 2 12 14 48 50 72 74 138 140 168 170 210 212
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: Groo
db: batch=81, k=14, 10 34 22 64 28 40

SPT(16)	2396269802594402827	0 22 42 52 60 100 102 130 162 190 192 232 240 250 270 292	-1038282523792
SPT(16)	2396269941408184043	0 26 48 68 90 96 138 140 156 158 200 206 228 248 270 296	-899468742576
TPT(16)	2396270299376493077	0 2 72 74 114 116 180 182 192 194 222 224 324 326 354 356	-541500433542
STPT(10)	2396270313104030159	0 2 18 20 30 32 42 44 60 62	-527772896460
STPT(10)	2396270351619770531	0 2 6 8 168 170 330 332 336 338	-489257156088
TPT(14)	2396270435521949891	0 2 48 50 60 62 126 128 168 170 246 248 288 290	-405354976728
TPT(14)	2396271064333529321	0 2 66 68 108 110 168 170 180 182 198 200 318 320	223456602702
SPT(16)	2396271315136909891	0 66 70 88 106 142 160 168 220 228 246 282 300 318 322 388	474259983272
TPT(14)	2396271991575258497	0 2 24 26 84 86 114 116 204 206 252 254 282 284	1150698331878
SPT(16)	2396272127446442873	0 8 38 66 68 108 140 146 168 174 206 246 248 276 306 314	1286569516254
SPT(16)	2396272410457223993	0 30 50 84 114 128 144 156 188 200 216 230 260 294 314 344	1569580297374