Prime p₀= 2027431309477170407 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 12 30 42 6 24 18 18 24 6 42 30 12 (?)
a_n: 0 12 42 84 90 114 132 150 174 180 222 252 264
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: 264
Found by: matsu_pl
db: batch=80, k=13, 12 30 42 6 24 18

SPT(16)	2027429944362723707	0 20 36 50 56 72 86 186 230 330 344 360 366 380 396 416	-1365114446700
SPT(16)	2027430198615507139	0 10 24 42 84 88 112 124 138 150 174 178 220 238 252 262	-1110861663268
SPT(16)	2027430833746633943	0 18 80 138 146 158 168 180 194 206 216 228 236 294 356 374	-475730536464
STPT(10)	2027431243873424339	0 2 18 20 30 32 42 44 60 62	-65603746068
STPT(10)	2027431266613593089	0 2 18 20 30 32 42 44 60 62	-42863577318
SPT(16)	2027431307620172479	0 4 28 42 64 90 102 148 264 310 322 348 370 384 408 412	-1856997928
TPT(20)	2027431748233901927	0 2 54 56 150 152 192 194 234 236 324 326 570 572 612 614 654 656 684 686	438756731520
SPT(16)	2027432048766443623	0 24 40 90 126 148 166 220 234 288 306 328 364 414 430 454	739289273216
TPT(14)	2027432246466351407	0 2 60 62 90 92 132 134 174 176 180 182 222 224	936989181000
TPT(14)	2027432767341811601	0 2 78 80 120 122 156 158 186 188 198 200 288 290	1457864641194
STPT(10)	2027433504353366267	0 2 30 32 72 74 114 116 144 146	2194876195860