Prime p₀= 4365135267462109303 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 30 2 72 6 6 30 4 30 6 6 72 2 30 4 (?)
a_n: 0 4 34 36 108 114 120 150 154 184 190 196 268 270 300 304
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: 304
Found by: Autofuzzy
db: batch=85, k=16, 4 30 2 72 6 6 30 4

SPT(16)	4365132617466913459	0 52 82 84 112 124 144 150 154 160 180 192 220 222 252 304	-2649995195844
STPT(10)	4365133611789396527	0 2 54 56 72 74 90 92 144 146	-1655672712776
SPT(16)	4365133973810089189	0 12 24 120 124 142 154 160 282 288 300 318 322 418 430 442	-1293652020114
SPT(18)	4365134770777876561	0 48 72 100 118 148 166 180 226 312 358 372 390 420 438 466 490 538	-496684232742
SPT(16)	4365134823828230189	0 14 90 108 122 138 162 182 300 320 344 360 374 392 468 482	-443633879114
STPT(10)	4365134963317166177	0 2 60 62 72 74 84 86 144 146	-304144943126
SPT(16)	4365135306852297739	0 24 28 58 72 84 132 142 150 160 208 220 234 264 268 292	39390188436
SPT(16)	4365135352716484981	0 10 60 120 162 186 220 270 298 348 382 406 448 508 558 568	85254375678
STPT(10)	4365135552513142499	0 2 78 80 120 122 162 164 240 242	285051033196
SPT(16)	4365135608512412711	0 38 42 50 60 80 108 162 206 260 288 308 318 326 330 368	341050303408
SPT(16)	4365135658770704569	0 22 58 70 78 90 100 148 174 222 232 244 252 264 300 322	391308595266