Prime p₀= 2561675712027516971 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 60 12 12 6 12 12 6 12 12 60 6 (?)
a_n: 0 6 66 78 90 96 108 120 126 138 150 210 216
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: 216
Found by: [SG-FC] hl
db: batch=82, k=13, 6 60 12 12 6 12

SPT(16)	2561674751557704449	0 14 18 32 44 80 90 104 168 182 192 228 240 254 258 272	-960469812522
SPT(16)	2561674762329913091	0 2 8 36 66 78 120 122 156 158 200 212 242 270 276 278	-949697603880
SPT(16)	2561675020976639489	0 62 78 80 102 120 122 150 242 270 272 290 312 314 330 392	-691050877482
SPT(13)	2561675153070581549	0 18 24 30 78 84 114 144 150 198 204 210 228	-558956935422
STPT(10)	2561675299324882751	0 2 6 8 48 50 90 92 96 98	-412702634220
SPT(16)	2561675402599989079	0 52 54 120 150 162 174 202 210 238 250 262 292 358 360 412	-309427527892
SPT(16)	2561675730144930143	0 20 86 90 110 188 260 276 320 336 408 486 506 510 576 596	18117413172
SPT(16)	2561675967717937241	0 30 36 62 72 78 86 96 122 132 140 146 156 182 188 218	255690420270
STPT(10)	2561676899513816129	0 2 42 44 90 92 138 140 180 182	1187486299158
SPT(16)	2561677028348372119	0 12 28 54 64 70 84 94 108 118 132 138 148 174 190 202	1316320855148
STPT(10)	2561677130782832729	0 2 18 20 30 32 42 44 60 62	1418755315758