Prime p₀= 45096581066001979 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 6 12 10 68 12 10 12 68 10 12 6 24 (?)
a_n: 0 24 30 42 52 120 132 142 154 222 232 244 250 274
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: 274
Found by: Egon olsen
db: batch=65, k=14, 24 6 12 10 68 12 10

SPT(14)	45096540391482793	0 6 28 48 90 120 166 198 244 274 316 336 358 364	-40674519186
TPT(12)	45096546882862997	0 2 30 32 84 86 132 134 174 176 240 242	-34183138982
TPT(12)	45096553624067789	0 2 42 44 72 74 132 134 138 140 198 200	-27441934190
SPT(14)	45096556612353121	0 16 36 72 100 130 148 150 168 198 226 262 282 298	-24453648858
SPT(14)	45096568895342677	0 6 16 70 94 136 142 144 150 192 216 270 280 286	-12170659302
SPT(14)	45096577973717227	0 6 72 84 102 112 126 130 144 154 172 184 250 256	-3092284752
TPT(12)	45096593707540211	0 2 18 20 48 50 90 92 126 128 180 182	12641538232
SPT(14)	45096594973710853	0 28 30 46 58 88 130 156 198 228 240 256 258 286	13907708874
SPT(14)	45096604944834187	0 10 16 30 52 54 76 90 112 114 136 150 156 166	23878832208
SPT(14)	45096647232114767	0 6 32 50 66 92 122 144 174 200 216 234 260 266	66166112788
SPT(14)	45096658435405601	0 8 26 38 50 68 90 98 120 138 150 162 180 188	77369403622