Prime p₀= 219588837161998099 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 36 30 30 30 6 24 6 30 30 30 36 12 (?)
a_n: 0 12 48 78 108 138 144 168 174 204 234 264 300 312
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: 312
Found by: scrap
db: batch=69, k=14, 12 36 30 30 30 6 24

SPT(14)	219588782321010659	0 12 32 42 44 78 128 144 194 228 230 240 260 272	-54840987440
SPT(16)	219588785433403657	0 10 34 36 52 66 76 84 112 120 130 144 160 162 186 196	-51728594442
SPT(14)	219588808697031559	0 10 42 100 114 120 142 240 262 268 282 340 372 382	-28464966540
SPT(14)	219588813840651559	0 12 54 84 94 108 142 150 184 198 208 238 280 292	-23321346540
SPT(14)	219588819308838061	0 18 40 46 76 88 108 190 210 222 252 258 280 298	-17853160038
SPT(16)	219588832958569223	0 8 14 30 50 84 108 120 128 140 164 198 218 234 240 248	-4203428876
TPT(12)	219588855082924307	0 2 24 26 30 32 114 116 162 164 210 212	17920926208
SPT(14)	219588859532128987	0 24 40 42 64 82 102 112 132 150 172 174 190 214	22370130888
STPT(10)	219588874142772107	0 2 30 32 42 44 54 56 84 86	36980774008
SPT(14)	219588880601780951	0 20 32 48 60 98 108 122 132 170 182 198 210 230	43439782852
SPT(14)	219588885101476519	0 28 70 84 94 114 132 160 178 198 208 222 264 292	47939478420