Prime p₀= 1319508002858819 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 16 24 14 64 2 4 2 64 14 24 16 14 (?)
a_n: 0 14 30 54 68 132 134 138 140 204 218 242 258 272
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: crashtech
db: batch=60, k=14, 14 16 24 14 64 2 4

SPT(14)	1319474127062303	0 14 78 80 84 98 104 144 150 164 168 170 234 248	-33875796516
SPT(14)	1319474422729699	0 10 42 48 52 54 112 150 208 210 214 220 252 262	-33580129120
SPT(14)	1319476776956827	0 54 60 66 90 144 154 156 166 220 244 250 256 310	-31225901992
SPT(14)	1319476816989109	0 52 58 60 72 88 94 168 174 190 202 204 210 262	-31185869710
SPT(14)	1319496981089921	0 18 36 60 98 168 170 216 218 288 326 350 368 386	-11021768898
SPT(14)	1319498546866309	0 12 28 42 60 64 82 90 108 112 130 144 160 172	-9455992510
SPT(14)	1319520636206749	0 12 54 58 72 78 88 114 124 130 144 148 190 202	12633347930
SPT(14)	1319527575528079	0 82 84 88 114 130 142 180 192 208 234 238 240 322	19572669260
TPT(12)	1319527799939969	0 2 48 50 90 92 168 170 198 200 252 254	19797081150
TPT(12)	1319530076353469	0 2 12 14 138 140 162 164 198 200 222 224	22073494650
SPT(16)	1319542831357181	0 8 12 30 36 92 96 120 188 212 216 272 278 296 300 308	34828498362