Prime p₀= 2410749768019828861 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 30 54 6 24 6 6 24 6 54 30 6 (?)
a_n: 0 6 36 90 96 120 126 132 156 162 216 246 252
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: 252
Found by: JayPi
db: batch=82, k=13, 6 30 54 6 24 6

SPT(16)	2410748790683906219	0 24 72 98 114 122 134 144 218 228 240 248 264 290 338 362	-977335922642
SPT(16)	2410748885730352553	0 74 116 144 170 200 204 236 294 326 330 360 386 414 456 530	-882289476308
SPT(16)	2410748912385966947	0 2 6 32 56 86 110 170 186 246 270 300 324 350 354 356	-855633861914
STPT(10)	2410748953316925251	0 2 30 32 60 62 90 92 120 122	-814702903610
SPT(16)	2410749241920279397	0 4 30 42 70 112 154 156 340 342 384 426 454 466 492 496	-526099549464
SPT(16)	2410749466079975659	0 52 58 60 100 112 144 148 234 238 270 282 322 324 330 382	-301939853202
STPT(10)	2410749899738381879	0 2 18 20 30 32 42 44 60 62	131718553018
SPT(16)	2410749974594740661	0 12 68 80 122 152 156 180 308 332 336 366 408 420 476 488	206574911800
SPT(16)	2410750027934284409	0 38 62 150 162 164 174 192 230 248 258 260 272 360 384 422	259914455548
SPT(16)	2410750044201098689	0 18 34 82 124 138 144 154 228 238 244 258 300 348 364 382	276181269828
SPT(16)	2410750080441929843	0 24 36 96 110 138 158 170 234 246 266 294 308 368 380 404	312422100982