Prime p₀= 18688405216345043 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 12 8 28 30 30 56 30 30 28 8 12 6 (?)
a_n: 0 6 18 26 54 84 114 170 200 230 258 266 278 284
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: 284
Found by: emoga
db: batch=62, k=14, 6 12 8 28 30 30 56

SPT(14)	18688298630427103	0 18 28 40 60 88 90 94 96 124 144 156 166 184	-106585917940
SPT(14)	18688323708715051	0 18 28 42 52 66 118 150 202 216 226 240 250 268	-81507629992
SPT(16)	18688328253244553	0 14 18 36 56 60 74 78 116 120 134 138 158 176 180 194	-76963100490
SPT(14)	18688330477369681	0 6 18 46 78 112 118 120 126 160 192 220 232 238	-74738975362
SPT(14)	18688339408385629	0 28 30 52 78 90 132 220 262 274 300 322 324 352	-65807959414
TPT(12)	18688377923348009	0 2 30 32 132 134 198 200 240 242 312 314	-27292997034
STPT(10)	18688408138680977	0 2 30 32 72 74 114 116 144 146	2922335934
SPT(16)	18688413607997659	0 40 42 58 60 78 94 138 154 198 214 232 234 250 252 292	8391652616
TPT(12)	18688414168797677	0 2 12 14 54 56 132 134 150 152 204 206	8952452634
SPT(14)	18688414387991077	0 16 36 64 72 94 112 144 162 184 192 220 240 256	9171646034
SPT(14)	18688429184561219	0 2 24 30 42 74 102 122 150 182 194 200 222 224	23968216176