Prime p₀= 2396271064333529321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 58 2 10 2 16 2 118 2 (?)
a_n: 0 2 66 68 108 110 168 170 180 182 198 200 318 320
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: 320
Found by: Groo
db: batch=81, k=14, 64 40 58 10 16 118

SPT(16)	2396269941408184043	0 26 48 68 90 96 138 140 156 158 200 206 228 248 270 296	-1122925345278
TPT(16)	2396270299376493077	0 2 72 74 114 116 180 182 192 194 222 224 324 326 354 356	-764957036244
STPT(10)	2396270313104030159	0 2 18 20 30 32 42 44 60 62	-751229499162
STPT(10)	2396270351619770531	0 2 6 8 168 170 330 332 336 338	-712713758790
TPT(14)	2396270435521949891	0 2 48 50 60 62 126 128 168 170 246 248 288 290	-628811579430
TPT(14)	2396270840876926619	0 2 12 14 48 50 72 74 138 140 168 170 210 212	-223456602702
SPT(16)	2396271315136909891	0 66 70 88 106 142 160 168 220 228 246 282 300 318 322 388	250803380570
TPT(14)	2396271991575258497	0 2 24 26 84 86 114 116 204 206 252 254 282 284	927241729176
SPT(16)	2396272127446442873	0 8 38 66 68 108 140 146 168 174 206 246 248 276 306 314	1063112913552
SPT(16)	2396272410457223993	0 30 50 84 114 128 144 156 188 200 216 230 260 294 314 344	1346123694672
SPT(16)	2396272501507035329	0 24 44 54 92 98 122 132 170 180 204 210 248 258 278 302	1437173506008