Prime p₀= 227596183238738297 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 6 28 30 60 2 28 2 60 30 28 6 20 (?)
a_n: 0 20 26 54 84 144 146 174 176 236 266 294 300 320
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: 320
Found by: desktop64
db: batch=69, k=14, 20 6 28 30 60 2 28

SPT(14)	227596117440466613	0 24 44 54 60 80 98 156 174 194 200 210 230 254	-65798271684
SPT(14)	227596127404947449	0 38 68 80 168 180 194 198 212 224 312 324 354 392	-55833790848
SPT(14)	227596153974212689	0 40 42 52 64 70 112 162 204 210 222 232 234 274	-29264525608
SPT(14)	227596155139261243	0 60 90 130 196 234 240 280 286 324 390 430 460 520	-28099477054
SPT(14)	227596164418194119	0 18 30 44 78 84 120 122 158 164 198 212 224 242	-18820544178
SPT(14)	227596168824268319	0 8 20 54 78 98 122 150 174 194 218 252 264 272	-14414469978
SPT(14)	227596195381747123	0 46 54 84 88 126 156 178 208 246 250 280 288 334	12143008826
SPT(14)	227596217461499767	0 6 12 34 52 66 70 96 100 114 132 154 160 166	34222761470
TPT(12)	227596222107183287	0 2 12 14 114 116 252 254 402 404 462 464	38868444990
TPT(12)	227596240052422949	0 2 78 80 138 140 180 182 210 212 222 224	56813684652
TPT(12)	227596251976221197	0 2 12 14 42 44 54 56 60 62 114 116	68737482900