Prime p₀= 585913749184443373 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 34 20 46 26 10 2 10 26 46 20 34 30 (?)
a_n: 0 30 64 84 130 156 166 168 178 204 250 270 304 334
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 334
Found by: Ralfy
db: batch=71, k=14, 30 34 20 46 26 10 2

SPT(14)	585913641692704063	0 18 48 58 100 118 156 160 198 216 258 268 298 316	-107491739310
SPT(14)	585913683289272137	0 2 42 66 72 86 90 116 120 134 140 164 204 206	-65895171236
SPT(14)	585913719444137261	0 2 72 132 156 210 270 272 332 386 410 470 540 542	-29740306112
SPT(14)	585913739267179789	0 22 42 48 70 72 88 102 118 120 142 148 168 190	-9917263584
SPT(14)	585913740816590647	0 24 42 54 70 82 90 94 102 114 130 142 160 184	-8367852726
SPT(14)	585913748938100411	0 6 38 56 66 96 108 110 122 152 162 180 212 218	-246342962
TPT(12)	585913750530398747	0 2 72 74 84 86 90 92 144 146 210 212	1345955374
TPT(12)	585913759004106809	0 2 12 14 48 50 90 92 132 134 150 152	9819663436
SPT(14)	585913893848754473	0 36 38 60 78 90 98 126 134 146 164 186 188 224	144664311100
SPT(14)	585913895980723637	0 20 42 54 92 104 110 204 210 222 260 272 294 314	146796280264
SPT(14)	585913896180200183	0 24 26 50 60 84 96 98 110 134 144 168 170 194	146995756810