Prime p₀= 56165369797124051 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 28 18 2 12 54 16 54 12 2 18 28 32 (?)
a_n: 0 32 60 78 80 92 146 162 216 228 230 248 276 308
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: 308
Found by: Dario666
db: batch=67, k=14, 32 28 18 2 12 54 16

SPT(14)	56165326255848541	0 6 36 42 88 96 132 196 232 240 286 292 322 328	-43541275510
SPT(14)	56165328487826507	0 42 66 80 96 122 164 222 264 290 306 320 344 386	-41309297544
SPT(14)	56165334601385783	0 48 56 68 78 86 104 120 138 146 156 168 176 224	-35195738268
SPT(14)	56165351714925317	0 30 50 56 72 86 120 152 186 200 216 222 242 272	-18082198734
TPT(12)	56165360784384671	0 2 66 68 78 80 120 122 138 140 150 152	-9012739380
SPT(14)	56165361174900979	0 22 28 40 88 102 112 138 148 162 210 222 228 250	-8622223072
SPT(14)	56165394234349661	0 8 18 20 60 78 86 132 140 158 198 200 210 218	24437225610
SPT(14)	56165394986625451	0 22 30 52 66 70 88 90 108 112 126 148 156 178	25189501400
SPT(14)	56165397573637897	0 30 102 112 130 132 136 150 154 156 174 184 256 286	27776513846
TPT(12)	56165400887252561	0 2 36 38 60 62 78 80 90 92 168 170	31090128510
SPT(14)	56165411915627291	0 12 26 30 36 50 56 72 78 92 98 102 116 128	42118503240