Prime p₀= 2644292568766113359 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 58 56 24 28 8 6 4 6 8 28 24 56 58 14 (?)
a_n: 0 14 72 128 152 180 188 194 198 204 212 240 264 320 378 392
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 392
Found by: JonS
db: batch=82, k=16, 14 58 56 24 28 8 6 4

STPT(10)	2644291595661901187	0 2 30 32 72 74 114 116 144 146	-973104212172
SPT(16)	2644291992054635947	0 52 66 94 100 124 150 154 162 166 192 216 222 250 264 316	-576711477412
SPT(13)	2644292037624780427	0 24 42 54 84 114 132 150 180 210 222 240 264	-531141332932
STPT(12)	2644292063112539039	0 2 12 14 30 32 72 74 90 92 102 104	-505653574320
STPT(10)	2644292124064279259	0 2 18 20 30 32 42 44 60 62	-444701834100
SPT(16)	2644292244903768761	0 38 68 92 102 122 126 128 150 152 156 176 186 210 240 278	-323862344598
SPT(16)	2644292570611921139	0 98 108 120 144 150 158 164 204 210 218 224 248 260 270 368	1845807780
STPT(10)	2644293258682235087	0 2 30 32 72 74 114 116 144 146	689916121728
STPT(10)	2644293388935141467	0 2 30 32 42 44 54 56 84 86	820169028108
SPT(16)	2644294197117551087	0 2 36 50 62 126 132 140 162 170 176 240 252 266 300 302	1628351437728
STPT(12)	2644294498301545667	0 2 30 32 54 56 90 92 114 116 144 146	1929535432308