Prime p₀= 2324991199538299993 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 24 2 40 56 24 6 22 6 24 56 40 2 24 4 (?)
a_n: 0 4 28 30 70 126 150 156 178 184 208 264 304 306 330 334
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: Landjunge
db: batch=81, k=16, 4 24 2 40 56 24 6 22

SPT(16)	2324989569850271941	0 22 36 108 130 162 168 172 246 250 256 288 310 382 396 418	-1629688028052
SPT(16)	2324989716291711589	0 28 42 64 84 124 148 168 184 204 228 268 288 310 324 352	-1483246588404
STPT(10)	2324989751372563571	0 2 6 8 18 20 30 32 36 38	-1448165736422
SPT(16)	2324990704122552901	0 10 30 66 96 106 168 178 240 250 312 322 352 388 408 418	-495415747092
TPT(14)	2324990854096343747	0 2 12 14 54 56 150 152 222 224 240 242 294 296	-345441956246
STPT(10)	2324991056676043487	0 2 30 32 42 44 54 56 84 86	-142862256506
SPT(16)	2324991505842534883	0 18 34 46 60 78 106 144 190 228 256 274 288 300 316 334	306304234890
STPT(10)	2324992028449457711	0 2 36 38 78 80 120 122 156 158	828911157718
SPT(16)	2324992133701085479	0 12 42 54 70 72 82 120 142 180 190 192 208 220 250 262	934162785486
STPT(10)	2324992382995137671	0 2 6 8 48 50 90 92 96 98	1183456837678
STPT(10)	2324992631808915149	0 2 48 50 90 92 132 134 180 182	1432270615156