Prime p₀= 56165361174900979 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 6 12 48 14 10 26 10 14 48 12 6 22 (?)
a_n: 0 22 28 40 88 102 112 138 148 162 210 222 228 250
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: 250
Found by: Dario666
db: batch=67, k=14, 22 6 12 48 14 10 26

STPT(10)	56165312449524347	0 2 24 26 42 44 60 62 84 86	-48725376632
SPT(14)	56165326255848541	0 6 36 42 88 96 132 196 232 240 286 292 322 328	-34919052438
SPT(14)	56165328487826507	0 42 66 80 96 122 164 222 264 290 306 320 344 386	-32687074472
SPT(14)	56165334601385783	0 48 56 68 78 86 104 120 138 146 156 168 176 224	-26573515196
SPT(14)	56165351714925317	0 30 50 56 72 86 120 152 186 200 216 222 242 272	-9459975662
TPT(12)	56165360784384671	0 2 66 68 78 80 120 122 138 140 150 152	-390516308
SPT(14)	56165369797124051	0 32 60 78 80 92 146 162 216 228 230 248 276 308	8622223072
SPT(14)	56165394234349661	0 8 18 20 60 78 86 132 140 158 198 200 210 218	33059448682
SPT(14)	56165394986625451	0 22 30 52 66 70 88 90 108 112 126 148 156 178	33811724472
SPT(14)	56165397573637897	0 30 102 112 130 132 136 150 154 156 174 184 256 286	36398736918
TPT(12)	56165400887252561	0 2 36 38 60 62 78 80 90 92 168 170	39712351582