Prime p₀= 3004310105709902287 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 60 6 30 78 6 6 78 30 6 60 30 (?)
a_n: 0 30 90 96 126 204 210 216 294 324 330 390 420
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: Orange Kid
db: batch=82, k=13, 30 60 6 30 78 6

SPT(16)	3004306981484156351	0 2 90 98 110 182 210 258 260 308 336 408 420 428 516 518	-3124225745936
SPT(16)	3004307691011007701	0 8 12 26 38 42 78 80 138 140 176 180 192 206 210 218	-2414698894586
SPT(16)	3004307909926412137	0 16 34 46 60 72 94 96 130 132 154 166 180 192 210 226	-2195783490150
TPT(14)	3004308307291633289	0 2 48 50 78 80 120 122 132 134 180 182 210 212	-1798418268998
SPT(16)	3004308453148901557	0 52 94 102 124 130 136 184 192 240 246 252 274 282 324 376	-1652561000730
STPT(10)	3004308496543641281	0 2 36 38 78 80 120 122 156 158	-1609166261006
STPT(10)	3004310206560813251	0 2 6 8 48 50 90 92 96 98	100850910964
SPT(16)	3004310378777521549	0 24 42 54 72 108 112 142 150 180 184 220 238 250 268 292	273067619262
STPT(10)	3004310922758212757	0 2 30 32 42 44 54 56 84 86	817048310470
STPT(10)	3004310957881378307	0 2 30 32 42 44 54 56 84 86	852171476020
SPT(16)	3004311121323800671	0 40 70 88 120 130 132 148 192 208 210 220 252 270 300 340	1015613898384