Prime p₀= 408610465140751259 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 12 30 42 30 30 18 18 30 30 42 30 12 (?)
a_n: 0 12 42 84 114 144 162 180 210 240 282 312 324
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: 324
Found by: Cruncher Pete
db: batch=70, k=13, 12 30 42 30 30 18

SPT(14)	408610375326838123	0 28 60 66 84 96 106 108 118 130 148 154 186 214	-89813913136
SPT(14)	408610413958437529	0 24 54 60 88 108 130 132 154 174 202 208 238 262	-51182313730
SPT(14)	408610437122144581	0 22 52 60 70 88 102 136 150 168 178 186 216 238	-28018606678
TPT(12)	408610442552583317	0 2 114 116 132 134 180 182 210 212 222 224	-22588167942
SPT(14)	408610454634371683	0 18 64 78 88 130 154 180 204 246 256 270 316 334	-10506379576
SPT(14)	408610464346161841	0 10 18 36 78 100 108 148 156 178 220 238 246 256	-794589418
SPT(14)	408610465784263577	0 6 24 60 66 90 120 170 200 224 230 266 284 290	643512318
SPT(14)	408610502892334387	0 42 46 52 54 72 94 102 124 142 144 150 154 196	37751583128
SPT(14)	408610504631657191	0 6 48 78 120 138 156 160 178 196 238 268 310 316	39490905932
SPT(14)	408610512614637689	0 24 38 80 110 158 168 170 180 228 258 300 314 338	47473886430
STPT(10)	408610519856470817	0 2 30 32 42 44 54 56 84 86	54715719558