Prime p₀= 2972568884041875539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 10 2 70 2 58 2 (?)
a_n: 0 2 12 14 42 44 108 110 120 122 192 194 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 10 28 64 10 70 58

SPT(16)	2972566251327903299	0 2 14 32 42 60 72 90 164 182 194 212 222 240 252 254	-2632713972240
STPT(10)	2972566293011039279	0 2 18 20 60 62 102 104 120 122	-2591030836260
TPT(14)	2972566549920867791	0 2 48 50 108 110 138 140 150 152 246 248 306 308	-2334121007748
SPT(16)	2972567289698828281	0 36 76 96 118 132 160 162 166 168 196 210 232 252 292 328	-1594343047258
SPT(16)	2972568199456985771	0 12 26 50 56 90 92 180 188 276 278 312 318 342 356 368	-684584889768
SPT(16)	2972568344935122467	0 30 32 42 56 62 74 84 92 102 114 120 134 144 146 176	-539106753072
SPT(16)	2972568903086078531	0 2 26 60 68 110 132 146 222 236 258 300 308 342 366 368	19044202992
TPT(14)	2972568919959606269	0 2 150 152 168 170 288 290 360 362 408 410 420 422	35917730730
STPT(10)	2972569247895579089	0 2 18 20 30 32 42 44 60 62	363853703550
TPT(14)	2972569725516183929	0 2 42 44 78 80 90 92 138 140 210 212 222 224	841474308390
TPT(14)	2972569804177439909	0 2 42 44 60 62 78 80 120 122 132 134 252 254	920135564370