Prime p₀= 56165397573637897 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 72 10 18 2 4 14 4 2 18 10 72 30 (?)
a_n: 0 30 102 112 130 132 136 150 154 156 174 184 256 286
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: 286
Found by: Dario666
db: batch=67, k=14, 30 72 10 18 2 4 14

SPT(14)	56165351714925317	0 30 50 56 72 86 120 152 186 200 216 222 242 272	-45858712580
TPT(12)	56165360784384671	0 2 66 68 78 80 120 122 138 140 150 152	-36789253226
SPT(14)	56165361174900979	0 22 28 40 88 102 112 138 148 162 210 222 228 250	-36398736918
SPT(14)	56165369797124051	0 32 60 78 80 92 146 162 216 228 230 248 276 308	-27776513846
SPT(14)	56165394234349661	0 8 18 20 60 78 86 132 140 158 198 200 210 218	-3339288236
SPT(14)	56165394986625451	0 22 30 52 66 70 88 90 108 112 126 148 156 178	-2587012446
TPT(12)	56165400887252561	0 2 36 38 60 62 78 80 90 92 168 170	3313614664
SPT(14)	56165411915627291	0 12 26 30 36 50 56 72 78 92 98 102 116 128	14341989394
TPT(12)	56165413585843361	0 2 48 50 126 128 156 158 198 200 216 218	16012205464
SPT(14)	56165417699810803	0 24 46 60 88 118 150 154 186 216 244 258 280 304	20126172906
TPT(12)	56165421694381289	0 2 12 14 42 44 108 110 120 122 162 164	24120743392