Prime p₀= 11282981616299303 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 12 10 14 28 2 4 2 28 14 10 12 14 (?)
a_n: 0 14 26 36 50 78 80 84 86 114 128 138 150 164
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: 164
Found by: Dario666
db: batch=62, k=14, 14 12 10 14 28 2 4

TPT(12)	11282933985820571	0 2 48 50 156 158 180 182 240 242 306 308	-47630478732
SPT(14)	11282941614504827	0 24 50 56 66 72 92 144 164 170 180 186 212 236	-40001794476
STPT(10)	11282942317671317	0 2 42 44 72 74 102 104 144 146	-39298627986
SPT(14)	11282955744480269	0 12 14 44 84 90 132 170 212 218 258 288 290 302	-25871819034
SPT(16)	11282962198951543	0 28 58 88 148 154 168 184 204 220 234 240 300 330 360 388	-19417347760
SPT(14)	11282975518982357	0 26 92 102 116 126 144 152 170 180 194 204 270 296	-6097316946
SPT(14)	11283006563422589	0 14 42 48 74 84 90 92 98 108 134 140 168 182	24947123286
SPT(14)	11283019501084801	0 12 52 66 70 82 88 120 126 138 142 156 196 208	37884785498
SPT(14)	11283026187241409	0 12 24 32 80 84 110 144 170 174 222 230 242 254	44570942106
TPT(12)	11283026400420497	0 2 30 32 90 92 114 116 162 164 204 206	44784121194
SPT(14)	11283027589639639	0 10 22 42 58 78 88 162 172 192 208 228 240 250	45973340336