Prime p₀= 79343013408662251 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 22 18 140 22 20 18 10 18 20 22 140 18 22 (?)
a_n: 0 22 40 180 202 222 240 250 268 288 310 450 468 490
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: 490
Found by: emoga
db: batch=67, k=14, 22 18 140 22 20 18 10

SPT(14)	79342960142484569	0 12 38 42 48 60 104 108 152 164 170 174 200 212	-53266177682
STPT(10)	79342984422583709	0 2 42 44 60 62 78 80 120 122	-28986078542
TPT(12)	79342988476734677	0 2 90 92 114 116 120 122 162 164 204 206	-24931927574
TPT(12)	79343003033986691	0 2 30 32 96 98 108 110 138 140 150 152	-10374675560
SPT(14)	79343005373208701	0 38 42 50 56 68 78 80 90 102 108 116 120 158	-8035453550
SPT(14)	79343010351747673	0 10 70 100 108 114 130 138 154 160 168 198 258 268	-3056914578
TPT(12)	79343026207745819	0 2 30 32 72 74 78 80 120 122 162 164	12799083568
SPT(14)	79343027392208483	0 8 26 50 66 68 74 120 126 128 144 168 186 194	13983546232
SPT(14)	79343028660818389	0 18 24 60 64 132 148 174 190 258 262 298 304 322	15252156138
SPT(14)	79343039713308583	0 4 28 34 60 90 114 190 214 244 270 276 300 304	26304646332
TPT(12)	79343071739415221	0 2 36 38 90 92 108 110 138 140 150 152	58330752970