Prime p₀= 1128473310214144903 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 30 6 90 24 30 30 24 90 6 30 30 (?)
a_n: 0 30 60 66 156 180 210 240 264 354 360 390 420
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: crashtech
db: batch=76, k=13, 30 30 6 90 24 30

SPT(16)	1128472278413586287	0 2 20 24 30 54 62 102 152 192 200 224 230 234 252 254	-1031800558616
STPT(10)	1128472287206851799	0 2 42 44 60 62 78 80 120 122	-1023007293104
SPT(16)	1128472293687017317	0 12 30 76 112 142 162 190 216 244 264 294 330 376 394 406	-1016527127586
STPT(10)	1128472326567296531	0 2 6 8 18 20 30 32 36 38	-983646848372
STPT(10)	1128472861316255639	0 2 18 20 30 32 42 44 60 62	-448897889264
SPT(16)	1128473070721272121	0 16 40 42 60 66 96 132 346 382 412 418 436 438 462 478	-239492872782
STPT(10)	1128473670188049707	0 2 30 32 42 44 54 56 84 86	359973904804
SPT(16)	1128473804359560601	0 12 22 60 76 88 112 148 150 186 210 222 238 276 286 298	494145415698
SPT(16)	1128473897858487931	0 46 100 102 126 150 186 192 196 202 238 262 286 288 342 388	587644343028
SPT(16)	1128474017829489791	0 42 62 80 102 162 180 192 218 230 248 308 330 348 368 410	707615344888
SPT(16)	1128474651852469393	0 54 156 168 198 220 234 246 268 280 294 316 346 358 460 514	1341638324490