Prime p₀= 64002841828323253 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 4 56 4 6 2 40 2 6 4 56 4 6 (?)
a_n: 0 6 10 66 70 76 78 118 120 126 130 186 190 196
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: 196
Found by: emoga
db: batch=67, k=14, 6 4 56 4 6 2 40

SPT(14)	64002819192841723	0 28 34 54 64 120 130 168 178 234 244 264 270 298	-22635481530
TPT(12)	64002819361327829	0 2 78 80 162 164 180 182 210 212 222 224	-22466995424
SPT(14)	64002819721642517	0 2 24 36 74 80 92 114 126 132 170 182 204 206	-22106680736
SPT(14)	64002828138784021	0 16 28 42 76 82 102 196 216 222 256 270 282 298	-13689539232
SPT(14)	64002834488153357	0 30 42 44 56 66 114 122 170 180 192 194 206 236	-7340169896
SPT(14)	64002841035032831	0 42 50 78 98 110 122 126 138 150 170 198 206 248	-793290422
SPT(14)	64002842303053229	0 8 20 38 42 60 90 92 122 140 144 162 174 182	474729976
TPT(12)	64002843891048707	0 2 12 14 30 32 54 56 162 164 204 206	2062725454
SPT(14)	64002866528328319	0 30 34 42 48 70 88 114 132 154 160 168 172 202	24700005066
SPT(14)	64002866545178293	0 18 76 84 90 126 150 154 178 214 220 228 286 304	24716855040
SPT(14)	64002866575968409	0 12 24 34 42 48 82 90 124 130 138 148 160 172	24747645156