Prime p₀= 1273699955480883583 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 42 12 30 18 30 12 26 12 30 18 30 12 42 16 (?)
a_n: 0 16 58 70 100 118 148 160 186 198 228 246 276 288 330 346
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: 346
Found by: HenkM
db: batch=77, k=16, 16 42 12 30 18 30 12 26

SPT(16)	1273699128795590639	0 8 62 74 80 98 134 158 234 258 294 312 318 330 384 392	-826685292944
SPT(16)	1273699154050804489	0 12 22 30 60 72 82 130 180 228 238 250 280 288 298 310	-801430079094
SPT(13)	1273699438884870373	0 6 18 48 90 150 168 186 246 288 318 330 336	-516596013210
STPT(12)	1273699625449966397	0 2 60 62 72 74 102 104 114 116 174 176	-330030917186
TPT(14)	1273699625449966397	0 2 60 62 72 74 102 104 114 116 174 176 300 302	-330030917186
SPT(16)	1273699831640052767	0 26 44 62 80 86 110 114 122 126 150 156 174 192 210 236	-123840830816
TPT(14)	1273700276635089599	0 2 18 20 48 50 162 164 168 170 240 242 270 272	321154206016
STPT(10)	1273700299719342137	0 2 30 32 42 44 54 56 84 86	344238458554
SPT(16)	1273700701537297199	0 8 60 90 110 132 150 192 218 260 278 300 320 350 402 410	746056413616
SPT(16)	1273700714345329399	0 12 30 48 54 72 100 112 180 192 220 238 244 262 280 292	758864445816
STPT(10)	1273700843214223157	0 2 30 32 42 44 54 56 84 86	887733339574