Prime p₀= 4365135306852297739 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 4 30 14 12 48 10 8 10 48 12 14 30 4 24 (?)
a_n: 0 24 28 58 72 84 132 142 150 160 208 220 234 264 268 292
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: 292
Found by: Autofuzzy
db: batch=85, k=16, 24 4 30 14 12 48 10 8

STPT(10)	4365133611789396527	0 2 54 56 72 74 90 92 144 146	-1695062901212
SPT(16)	4365133973810089189	0 12 24 120 124 142 154 160 282 288 300 318 322 418 430 442	-1333042208550
SPT(18)	4365134770777876561	0 48 72 100 118 148 166 180 226 312 358 372 390 420 438 466 490 538	-536074421178
SPT(16)	4365134823828230189	0 14 90 108 122 138 162 182 300 320 344 360 374 392 468 482	-483024067550
STPT(10)	4365134963317166177	0 2 60 62 72 74 84 86 144 146	-343535131562
SPT(16)	4365135267462109303	0 4 34 36 108 114 120 150 154 184 190 196 268 270 300 304	-39390188436
SPT(16)	4365135352716484981	0 10 60 120 162 186 220 270 298 348 382 406 448 508 558 568	45864187242
STPT(10)	4365135552513142499	0 2 78 80 120 122 162 164 240 242	245660844760
SPT(16)	4365135608512412711	0 38 42 50 60 80 108 162 206 260 288 308 318 326 330 368	301660114972
SPT(16)	4365135658770704569	0 22 58 70 78 90 100 148 174 222 232 244 252 264 300 322	351918406830
SPT(16)	4365135906385822753	0 30 96 124 126 136 154 160 174 180 198 208 210 238 304 334	599533525014