Prime p₀= 56165394986625451 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 8 22 14 4 18 2 18 4 14 22 8 22 (?)
a_n: 0 22 30 52 66 70 88 90 108 112 126 148 156 178
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: 178
Found by: Dario666
db: batch=67, k=14, 22 8 22 14 4 18 2

SPT(14)	56165334601385783	0 48 56 68 78 86 104 120 138 146 156 168 176 224	-60385239668
SPT(14)	56165351714925317	0 30 50 56 72 86 120 152 186 200 216 222 242 272	-43271700134
TPT(12)	56165360784384671	0 2 66 68 78 80 120 122 138 140 150 152	-34202240780
SPT(14)	56165361174900979	0 22 28 40 88 102 112 138 148 162 210 222 228 250	-33811724472
SPT(14)	56165369797124051	0 32 60 78 80 92 146 162 216 228 230 248 276 308	-25189501400
SPT(14)	56165394234349661	0 8 18 20 60 78 86 132 140 158 198 200 210 218	-752275790
SPT(14)	56165397573637897	0 30 102 112 130 132 136 150 154 156 174 184 256 286	2587012446
TPT(12)	56165400887252561	0 2 36 38 60 62 78 80 90 92 168 170	5900627110
SPT(14)	56165411915627291	0 12 26 30 36 50 56 72 78 92 98 102 116 128	16929001840
TPT(12)	56165413585843361	0 2 48 50 126 128 156 158 198 200 216 218	18599217910
SPT(14)	56165417699810803	0 24 46 60 88 118 150 154 186 216 244 258 280 304	22713185352