Prime p₀= 2523258501229578797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 52 2 34 2 40 2 46 2 (?)
a_n: 0 2 12 14 60 62 114 116 150 152 192 194 240 242
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: 242
Found by: RFGuy_KCCO
db: batch=82, k=14, 10 46 52 34 40 46

SPT(16)	2523257163916610851	0 6 22 70 72 78 90 100 168 178 190 196 198 246 262 268	-1337312967946
STPT(10)	2523257281641728477	0 2 24 26 42 44 60 62 84 86	-1219587850320
SPT(16)	2523257512068374611	0 28 36 46 52 76 78 90 148 160 162 186 192 202 210 238	-989161204186
STPT(10)	2523257549622881117	0 2 54 56 72 74 90 92 144 146	-951606697680
TPT(14)	2523257559103881629	0 2 30 32 72 74 108 110 120 122 168 170 282 284	-942125697168
SPT(16)	2523257583382255943	0 6 44 48 66 84 90 150 164 224 230 248 266 270 308 314	-917847322854
SPT(16)	2523258820360223633	0 8 98 114 140 168 188 204 224 240 260 288 314 330 420 428	319130644836
STPT(10)	2523259308490231019	0 2 42 44 60 62 78 80 120 122	807260652222
STPT(10)	2523259483996861031	0 2 36 38 78 80 120 122 156 158	982767282234
SPT(16)	2523259539361861571	0 42 78 102 116 162 230 248 330 348 416 462 476 500 536 578	1038132282774
STPT(10)	2523259636852033991	0 2 6 8 18 20 30 32 36 38	1135622455194