Prime p₀= 820191239773834987 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 30 6 24 54 6 6 54 24 6 30 6 (?)
a_n: 0 6 36 42 66 120 126 132 186 210 216 246 252
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: 252
Found by: Theadalus
db: batch=73, k=13, 6 30 6 24 54 6

SPT(16)	820189919667121039	0 70 82 84 100 102 142 144 178 180 220 222 238 240 252 322	-1320106713948
STPT(12)	820189919667121121	0 2 18 20 60 62 96 98 138 140 156 158	-1320106713866
STPT(10)	820189955402485607	0 2 30 32 60 62 90 92 120 122	-1284371349380
STPT(10)	820190172510979727	0 2 30 32 72 74 114 116 144 146	-1067262855260
STPT(10)	820190332598068181	0 2 36 38 78 80 120 122 156 158	-907175766806
SPT(16)	820190903746412831	0 62 72 78 98 132 150 156 182 188 206 240 260 266 276 338	-336027422156
SPT(16)	820191912373558331	0 32 66 80 140 150 176 192 236 252 278 288 348 362 396 428	672599723344
STPT(10)	820192755460769237	0 2 30 32 42 44 54 56 84 86	1515686934250
SPT(16)	820193242309221973	0 48 96 100 114 124 126 156 178 208 210 220 234 238 286 334	2002535386986
SPT(16)	820193244520698371	0 12 26 32 38 102 108 138 140 170 176 240 246 252 266 278	2004746863384
TPT(14)	820193827675085159	0 2 30 32 60 62 102 104 240 242 258 260 288 290	2587901250172