Prime p₀= 78278767796362883 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 36 6 28 6 30 50 30 6 28 6 36 8 (?)
a_n: 0 8 44 50 78 84 114 164 194 200 228 234 270 278
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: 278
Found by: emoga
db: batch=67, k=14, 8 36 6 28 6 30 50

SPT(14)	78278687772560923	0 16 18 40 58 88 118 138 168 198 216 238 240 256	-80023801960
TPT(12)	78278702776224659	0 2 18 20 42 44 78 80 90 92 102 104	-65020138224
SPT(14)	78278728466645101	0 28 36 42 52 58 70 108 120 126 136 142 150 178	-39329717782
TPT(12)	78278737916700611	0 2 78 80 90 92 96 98 120 122 180 182	-29879662272
SPT(14)	78278749777236623	0 26 30 80 96 98 140 156 198 200 216 266 270 296	-18019126260
SPT(14)	78278763525939859	0 4 12 42 54 60 64 78 82 88 100 130 138 142	-4270423024
TPT(12)	78278774610099311	0 2 48 50 96 98 108 110 138 140 150 152	6813736428
SPT(14)	78278775155323123	0 10 30 58 106 108 124 150 166 168 216 244 264 274	7358960240
SPT(14)	78278781644430319	0 30 42 78 94 130 138 154 162 198 214 250 262 292	13848067436
SPT(14)	78278785736020171	0 18 46 52 60 66 96 112 142 148 156 162 190 208	17939657288
SPT(14)	78278800750542409	0 78 90 94 138 154 160 168 174 190 234 238 250 328	32954179526