Prime p₀= 437907718216684949 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 60 30 6 78 6 6 78 6 30 60 24 (?)
a_n: 0 24 84 114 120 198 204 210 288 294 324 384 408
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: 408
Found by: Cruncher Pete
db: batch=70, k=13, 24 60 30 6 78 6

SPT(14)	437907656983410311	0 12 26 36 38 90 92 96 98 150 152 162 176 188	-61233274638
SPT(14)	437907660780640861	0 40 48 72 82 90 100 210 220 228 238 262 270 310	-57436044088
SPT(16)	437907674723701411	0 36 42 48 78 126 132 136 162 166 172 220 250 256 262 298	-43492983538
SPT(16)	437907702020692237	0 46 112 130 166 180 196 256 300 360 376 390 426 444 510 556	-16195992712
SPT(14)	437907702440712583	0 4 34 36 48 60 66 88 94 106 118 120 150 154	-15775972366
SPT(14)	437907707738370931	0 6 90 136 178 180 222 286 328 330 372 418 502 508	-10478314018
SPT(14)	437907737162706623	0 14 24 30 38 108 138 170 200 270 278 284 294 308	18946021674
SPT(14)	437907737206889479	0 28 78 102 148 190 204 238 252 294 340 364 414 442	18990204530
SPT(14)	437907742784893607	0 14 62 74 90 146 182 234 270 326 342 354 402 416	24568208658
TPT(12)	437907750113213669	0 2 18 20 42 44 48 50 90 92 102 104	31896528720
SPT(14)	437907797902615039	0 10 24 52 54 60 72 112 124 130 132 160 174 184	79685930090