Prime p₀= 1022675468902071463 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 4 24 36 8 22 24 26 24 22 8 36 24 4 6 (?)
a_n: 0 6 10 34 70 78 100 124 150 174 196 204 240 264 268 274
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: 274
Found by: Theadalus
db: batch=76, k=16, 6 4 24 36 8 22 24 26

STPT(10)	1022674578740348291	0 2 6 8 18 20 30 32 36 38	-890161723172
SPT(16)	1022674737874654693	0 64 70 78 148 154 168 174 184 190 204 210 280 288 294 358	-731027416770
SPT(16)	1022674920406657481	0 20 38 80 108 116 126 146 162 182 192 200 228 270 288 308	-548495413982
SPT(16)	1022674966276379177	0 24 42 56 66 72 80 110 126 156 164 170 180 194 212 236	-502625692286
SPT(16)	1022675278698537733	0 54 76 84 106 114 174 180 184 190 250 258 280 288 310 364	-190203533730
SPT(16)	1022675306787738449	0 2 32 42 48 62 108 170 252 314 360 374 380 390 420 422	-162114333014
STPT(10)	1022675555937585029	0 2 18 20 30 32 42 44 60 62	87035513566
TPT(14)	1022675861132427869	0 2 12 14 42 44 90 92 108 110 120 122 162 164	392230356406
SPT(18)	1022675946234501859	0 10 42 54 58 60 84 144 150 172 178 238 262 264 268 280 312 322	477332430396
SPT(16)	1022676061861758659	0 32 50 68 78 84 92 120 122 150 158 164 174 192 210 242	592959687196
STPT(10)	1022676894469019747	0 2 12 14 42 44 72 74 84 86	1425566948284