Prime p₀= 2391637936499122697 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 2 12 58 8 52 38 22 38 52 8 58 12 2 12 (?)
a_n: 0 12 14 26 84 92 144 182 204 242 294 302 360 372 374 386
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 386
Found by: Conan
db: batch=81, k=16, 12 2 12 58 8 52 38 22

SPT(16)	2391635768373471589	0 22 34 40 72 100 118 124 198 204 222 250 282 288 300 322	-2168125651108
STPT(10)	2391635791247995811	0 2 30 32 78 80 126 128 156 158	-2145251126886
SPT(16)	2391636495261763187	0 12 36 74 84 102 104 132 224 252 254 272 282 320 344 356	-1441237359510
SPT(16)	2391636928830584509	0 18 40 60 78 100 142 172 198 228 270 292 310 330 352 370	-1007668538188
SPT(13)	2391636936430166353	0 60 66 96 126 174 180 186 234 264 294 300 360	-1000068956344
SPT(16)	2391637191459087059	0 14 42 68 78 90 102 120 122 140 152 164 174 200 228 242	-745040035638
STPT(10)	2391637977212846807	0 2 30 32 42 44 54 56 84 86	40713724110
STPT(10)	2391638027091130001	0 2 30 32 60 62 90 92 120 122	90592007304
STPT(10)	2391638488341702497	0 2 42 44 72 74 102 104 144 146	551842579800
SPT(16)	2391638566162482799	0 4 84 94 114 130 138 144 148 154 162 178 198 208 288 292	629663360102
SPT(16)	2391638822908356907	0 12 22 30 34 64 84 90 106 112 132 162 166 174 184 196	886409234210