Prime p₀= 1264820735613084047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 88 2 16 2 22 2 58 2 (?)
a_n: 0 2 12 14 102 104 192 194 210 212 234 236 294 296
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: 296
Found by: rlacr
db: batch=77, k=14, 10 88 88 16 22 58

SPT(16)	1264819611000706921	0 46 66 72 96 108 118 132 136 150 160 172 196 202 222 268	-1124612377126
SPT(16)	1264820123396389423	0 76 136 154 210 216 276 286 294 304 364 370 426 444 504 580	-612216694624
SPT(16)	1264820141927460857	0 30 60 134 182 194 204 212 312 320 330 342 390 464 494 524	-593685623190
STPT(10)	1264820181308028011	0 2 6 8 18 20 30 32 36 38	-554305056036
STPT(10)	1264820402491155269	0 2 42 44 90 92 138 140 180 182	-333121928778
SPT(16)	1264820664879695179	0 12 34 90 130 142 144 180 232 268 270 282 322 378 400 412	-70733388868
STPT(10)	1264820784571239191	0 2 6 8 18 20 30 32 36 38	48958155144
TPT(14)	1264820804396973959	0 2 18 20 42 44 48 50 210 212 288 290 312 314	68783889912
SPT(16)	1264821045795810571	0 22 46 52 76 78 136 138 160 162 220 222 246 252 276 298	310182726524
SPT(16)	1264821322853174893	0 24 28 78 108 114 120 174 214 268 274 280 310 360 364 388	587240090846
SPT(16)	1264821425481114157	0 30 42 46 52 60 82 100 126 144 166 174 180 184 196 226	689868030110