Prime p₀= 4365136434615929279 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 22 6 14 10 92 28 38 28 92 10 14 6 22 20 (?)
a_n: 0 20 42 48 62 72 164 192 230 258 350 360 374 380 402 422
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: 422
Found by: [SG]ATA-Rolf
db: batch=85, k=16, 20 22 6 14 10 92 28 38

SPT(16)	4365135608512412711	0 38 42 50 60 80 108 162 206 260 288 308 318 326 330 368	-826103516568
SPT(16)	4365135658770704569	0 22 58 70 78 90 100 148 174 222 232 244 252 264 300 322	-775845224710
SPT(16)	4365135906385822753	0 30 96 124 126 136 154 160 174 180 198 208 210 238 304 334	-528230106526
STPT(12)	4365136052108060039	0 2 30 32 72 74 108 110 150 152 180 182	-382507869240
STPT(10)	4365136262371067789	0 2 12 14 90 92 168 170 180 182	-172244861490
SPT(16)	4365136304636196637	0 60 70 100 126 132 160 172 174 186 214 220 246 276 286 346	-129979732642
SPT(16)	4365136604167415771	0 32 90 92 132 156 158 182 246 270 272 296 336 338 396 428	169551486492
SPT(18)	4365136768706293631	0 32 42 56 90 98 102 120 146 162 188 206 210 218 252 266 276 308	334090364352
STPT(12)	4365137032371474299	0 2 12 14 42 44 48 50 78 80 90 92	597755545020
STPT(10)	4365137077444293149	0 2 18 20 30 32 42 44 60 62	642828363870
SPT(16)	4365137262187341383	0 56 78 104 146 170 188 206 258 276 294 318 360 386 408 464	827571412104