Prime p₀= 1278112474998516613 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 30 42 12 66 12 12 66 12 42 30 36 (?)
a_n: 0 36 66 108 120 186 198 210 276 288 330 360 396
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: 396
Found by: mikey
db: batch=77, k=13, 36 30 42 12 66 12

SPT(16)	1278111871864054529	0 14 38 84 110 128 164 194 198 228 264 282 308 354 378 392	-603134462084
SPT(16)	1278111925793118281	0 32 66 92 110 126 132 182 186 236 242 258 276 302 336 368	-549205398332
SPT(16)	1278112097901598313	0 30 44 50 60 74 116 180 260 324 366 380 390 396 410 440	-377096918300
SPT(16)	1278112220534957051	0 6 26 62 66 72 80 140 222 282 290 296 300 336 356 362	-254463559562
SPT(16)	1278112306157927899	0 10 18 42 102 112 114 138 154 178 180 190 250 274 282 292	-168840588714
SPT(16)	1278112471839149887	0 12 22 42 52 64 120 142 162 184 240 252 262 282 292 304	-3159366726
TPT(14)	1278113368677037019	0 2 30 32 72 74 78 80 162 164 180 182 240 242	893678520406
TPT(14)	1278113411394700271	0 2 30 32 66 68 96 98 108 110 156 158 210 212	936396183658
SPT(16)	1278113646725417287	0 34 90 120 126 136 174 214 216 256 294 304 310 340 396 430	1171726900674
SPT(16)	1278113687166149909	0 14 48 50 78 92 98 104 138 144 150 164 192 194 228 242	1212167633296
STPT(10)	1278113752974290147	0 2 24 26 42 44 60 62 84 86	1277975773534