Prime p₀= 589914029703974873 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 10 14 6 48 6 40 6 48 6 14 10 20 (?)
a_n: 0 20 30 44 50 98 104 144 150 198 204 218 228 248
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: 248
Found by: UBT - Timbo
db: batch=71, k=14, 20 10 14 6 48 6 40

SPT(14)	589913973826572739	0 4 40 54 60 64 94 114 144 148 154 168 204 208	-55877402134
SPT(14)	589913987104356757	0 6 10 12 16 42 72 94 124 150 154 156 160 166	-42599618116
SPT(14)	589914002179999711	0 16 30 42 90 96 106 132 142 148 196 208 222 238	-27523975162
TPT(12)	589914007659402029	0 2 48 50 162 164 168 170 282 284 288 290	-22044572844
TPT(12)	589914008509402007	0 2 30 32 54 56 72 74 132 134 144 146	-21194572866
SPT(14)	589914015740865961	0 22 28 46 78 88 112 186 210 220 252 270 276 298	-13963108912
SPT(14)	589914032789379517	0 4 46 60 70 94 112 174 192 216 226 240 282 286	3085404644
STPT(10)	589914040849965617	0 2 30 32 60 62 90 92 120 122	11145990744
TPT(12)	589914042912900779	0 2 78 80 138 140 162 164 168 170 192 194	13208925906
SPT(14)	589914092856544109	0 2 12 90 92 104 110 114 120 132 134 212 222 224	63152569236
SPT(14)	589914101057825221	0 66 90 96 118 168 196 222 250 300 322 328 352 418	71353850348