Prime p₀= 1585961686120274677 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 24 6 24 12 24 24 12 24 6 24 30 (?)
a_n: 0 30 54 60 84 96 120 144 156 180 186 210 240
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 240
Found by: emoga
db: batch=78, k=13, 30 24 6 24 12 24

SPT(16)	1585960453173063421	0 10 16 76 126 150 160 166 252 258 268 292 342 402 408 418	-1232947211256
STPT(10)	1585961053312437479	0 2 18 20 30 32 42 44 60 62	-632807837198
TPT(14)	1585961160714608057	0 2 30 32 84 86 120 122 132 134 252 254 282 284	-525405666620
STPT(10)	1585961293553050187	0 2 54 56 72 74 90 92 144 146	-392567224490
STPT(10)	1585961339962040939	0 2 18 20 30 32 42 44 60 62	-346158233738
SPT(16)	1585961401385661571	0 22 40 66 90 120 130 148 150 168 178 208 232 258 276 298	-284734613106
SPT(16)	1585961825932477603	0 58 88 108 150 180 190 208 210 228 238 268 310 330 360 418	139812202926
TPT(14)	1585961934296683289	0 2 132 134 150 152 168 170 192 194 258 260 288 290	248176408612
SPT(16)	1585962184698291139	0 12 18 28 60 64 82 94 138 150 168 172 204 214 220 232	498578016462
STPT(10)	1585962207376979951	0 2 30 32 78 80 126 128 156 158	521256705274
SPT(16)	1585962302592079897	0 52 106 136 150 156 162 172 174 184 190 196 210 240 294 346	616471805220