Prime p₀= 1956996032117107747 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 6 6 48 6 30 30 6 48 6 6 24 (?)
a_n: 0 24 30 36 84 90 120 150 156 204 210 216 240
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: 240
Found by: [SG-2W]Kurzer
db: batch=80, k=13, 24 6 6 48 6 30

SPT(16)	1956994229687716147	0 22 154 180 214 216 222 232 234 244 250 252 286 312 444 466	-1802429391600
STPT(10)	1956994572469653929	0 2 42 44 60 62 78 80 120 122	-1459647453818
STPT(10)	1956994701458469731	0 2 36 38 78 80 120 122 156 158	-1330658638016
SPT(16)	1956995077314102043	0 4 64 78 96 100 108 124 210 226 234 238 256 270 330 334	-954803005704
SPT(16)	1956995212348739921	0 8 66 78 96 98 108 168 290 350 360 362 380 392 450 458	-819768367826
SPT(16)	1956995368259749381	0 36 42 46 82 88 156 160 168 172 240 246 282 286 292 328	-663857358366
SPT(16)	1956996308089530091	0 18 40 42 70 72 82 118 150 186 196 198 226 228 250 268	275972422344
STPT(10)	1956996371192690591	0 2 30 32 78 80 126 128 156 158	339075582844
SPT(16)	1956996641190798083	0 30 38 44 56 84 104 144 170 210 230 258 270 276 284 314	609073690336
TPT(14)	1956996957422577251	0 2 126 128 156 158 318 320 360 362 390 392 396 398	925305469504
SPT(16)	1956997516159055947	0 22 40 54 64 82 124 132 142 150 192 210 220 234 252 274	1484041948200