Prime p₀= 4365135906385822753 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 66 28 2 10 18 6 14 6 18 10 2 28 66 30 (?)
a_n: 0 30 96 124 126 136 154 160 174 180 198 208 210 238 304 334
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: 334
Found by: Autofuzzy
db: batch=85, k=16, 30 66 28 2 10 18 6 14

SPT(16)	4365135267462109303	0 4 34 36 108 114 120 150 154 184 190 196 268 270 300 304	-638923713450
SPT(16)	4365135306852297739	0 24 28 58 72 84 132 142 150 160 208 220 234 264 268 292	-599533525014
SPT(16)	4365135352716484981	0 10 60 120 162 186 220 270 298 348 382 406 448 508 558 568	-553669337772
STPT(10)	4365135552513142499	0 2 78 80 120 122 162 164 240 242	-353872680254
SPT(16)	4365135608512412711	0 38 42 50 60 80 108 162 206 260 288 308 318 326 330 368	-297873410042
SPT(16)	4365135658770704569	0 22 58 70 78 90 100 148 174 222 232 244 252 264 300 322	-247615118184
STPT(12)	4365136052108060039	0 2 30 32 72 74 108 110 150 152 180 182	145722237286
STPT(10)	4365136262371067789	0 2 12 14 90 92 168 170 180 182	355985245036
SPT(16)	4365136304636196637	0 60 70 100 126 132 160 172 174 186 214 220 246 276 286 346	398250373884
SPT(16)	4365136434615929279	0 20 42 48 62 72 164 192 230 258 350 360 374 380 402 422	528230106526
SPT(16)	4365136604167415771	0 32 90 92 132 156 158 182 246 270 272 296 336 338 396 428	697781593018