Prime p₀= 2268440017267212563 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 30 54 6 60 24 24 60 6 54 30 36 (?)
a_n: 0 36 66 120 126 186 210 234 294 300 354 384 420
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: 420
Found by: JayPi
db: batch=81, k=13, 36 30 54 6 60 24

SPT(16)	2268437363536382833	0 34 48 78 84 124 168 214 240 286 330 370 376 406 420 454	-2653730829730
STPT(10)	2268438227833254749	0 2 18 20 30 32 42 44 60 62	-1789433957814
SPT(16)	2268438371031969217	0 4 46 60 64 112 144 174 202 232 264 312 316 330 372 376	-1646235243346
TPT(14)	2268439163828687609	0 2 42 44 48 50 132 134 168 170 222 224 282 284	-853438524954
STPT(10)	2268439723401190679	0 2 18 20 30 32 42 44 60 62	-293866021884
STPT(10)	2268439918412599871	0 2 30 32 60 62 90 92 120 122	-98854612692
SPT(16)	2268440235873440071	0 6 48 72 78 120 132 156 202 226 238 280 286 310 352 358	218606227508
SPT(16)	2268440255449121059	0 40 54 78 82 144 180 190 192 202 238 300 304 328 342 382	238181908496
SPT(16)	2268440388914509487	0 30 32 72 74 132 140 144 182 186 194 252 254 294 296 326	371647296924
SPT(16)	2268440436476722087	0 30 46 72 84 172 214 220 276 282 324 412 424 450 466 496	419209509524
SPT(16)	2268440857675383757	0 4 16 84 90 114 136 142 144 150 172 196 202 270 282 286	840408171194