Prime p₀= 4092725038866683987 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 24 36 36 30 54 54 30 36 36 24 36 (?)
a_n: 0 36 60 96 132 162 216 270 300 336 372 396 432
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: 432
Found by: [AF>WildWildWest]Sebastien
db: batch=84, k=13, 36 24 36 36 30 54

SPT(16)	4092722156098588583	0 26 44 54 74 84 90 96 134 140 146 156 176 186 204 230	-2882768095404
SPT(13)	4092722307202445957	0 36 66 84 96 126 150 174 204 216 234 264 300	-2731664238030
STPT(10)	4092723296424525941	0 2 6 8 48 50 90 92 96 98	-1742442158046
SPT(16)	4092723376258520261	0 20 26 48 86 90 98 122 156 180 188 192 230 252 258 278	-1662608163726
SPT(16)	4092724112725618889	0 2 38 54 128 138 162 168 194 200 224 234 308 324 360 362	-926141065098
SPT(16)	4092724285126427833	0 24 58 64 100 124 138 150 154 166 180 204 240 246 280 304	-753740256154
SPT(16)	4092725557025385083	0 14 26 30 60 66 74 84 86 96 104 110 140 144 156 170	518158701096
TPT(14)	4092726151962203669	0 2 18 20 90 92 168 170 180 182 240 242 258 260	1113095519682
STPT(10)	4092726318490101137	0 2 24 26 42 44 60 62 84 86	1279623417150
STPT(10)	4092726758219152307	0 2 42 44 72 74 102 104 144 146	1719352468320
STPT(10)	4092726812901163739	0 2 30 32 120 122 210 212 240 242	1774034479752