Prime p₀= 2322257682363973463 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 18 42 6 60 42 42 60 6 42 18 30 (?)
a_n: 0 30 48 90 96 156 198 240 300 306 348 366 396
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: 396
Found by: Groo
db: batch=81, k=13, 30 18 42 6 60 42

SPT(16)	2322256716663772327	0 22 54 70 82 106 160 204 262 306 360 384 396 412 444 466	-965700201136
SPT(16)	2322256790360244317	0 6 30 54 56 60 110 116 180 186 236 240 242 266 290 296	-892003729146
STPT(10)	2322256936517865239	0 2 12 14 90 92 168 170 180 182	-745846108224
SPT(16)	2322257313464450189	0 2 32 60 104 132 144 150 164 170 182 210 254 282 312 314	-368899523274
SPT(16)	2322257435048087039	0 42 48 104 122 140 164 180 182 198 222 240 258 314 320 362	-247315886424
SPT(16)	2322257626360262519	0 24 62 84 110 122 152 164 210 222 252 264 290 312 350 374	-56003710944
STPT(10)	2322258256828859747	0 2 30 32 72 74 114 116 144 146	574464886284
STPT(10)	2322258579812054171	0 2 36 38 78 80 120 122 156 158	897448080708
STPT(10)	2322258863898869177	0 2 42 44 72 74 102 104 144 146	1181534895714
STPT(10)	2322258871497719909	0 2 18 20 30 32 42 44 60 62	1189133746446
TPT(14)	2322259126999937579	0 2 42 44 102 104 198 200 210 212 312 314 348 350	1444635964116