Prime p₀= 1213022628179210111 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 54 12 18 66 30 30 66 18 12 54 6 (?)
a_n: 0 6 60 72 90 156 186 216 282 300 312 366 372
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: 372
Found by: HenkM
db: batch=77, k=13, 6 54 12 18 66 30

SPT(16)	1213021606821172633	0 6 36 66 84 148 154 184 210 240 246 310 328 358 388 394	-1021358037478
STPT(10)	1213021826977299011	0 2 30 32 78 80 126 128 156 158	-801201911100
SPT(16)	1213022076596785801	0 12 16 36 78 112 126 166 222 262 276 310 352 372 376 388	-551582424310
STPT(10)	1213022116277043011	0 2 36 38 78 80 120 122 156 158	-511902167100
SPT(16)	1213022133126848329	0 4 24 42 54 60 102 124 138 160 202 208 220 238 258 262	-495052361782
SPT(16)	1213022571613847243	0 36 44 54 56 60 78 84 170 176 194 198 200 210 218 254	-56565362868
SPT(16)	1213022657961639241	0 10 12 28 30 36 58 66 82 90 112 118 120 136 138 148	29782429130
SPT(16)	1213022702839107437	0 12 26 102 140 180 210 264 272 326 356 396 434 510 524 536	74659897326
SPT(16)	1213022769801444281	0 26 42 66 80 92 116 128 150 162 186 198 212 236 252 278	141622234170
STPT(10)	1213022885965310471	0 2 6 8 18 20 30 32 36 38	257786100360
STPT(10)	1213023325508983991	0 2 30 32 60 62 90 92 120 122	697329773880