Prime p₀= 2324038403149325141 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 24 4 30 8 58 6 74 6 58 8 30 4 24 2 (?)
a_n: 0 2 26 30 60 68 126 132 206 212 270 278 308 312 336 338
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: 338
Found by: vinn@[CNT]
db: batch=81, k=16, 2 24 4 30 8 58 6 74

SPT(16)	2324036808807201737	0 12 56 60 116 152 194 254 282 342 384 420 476 480 524 536	-1594342123404
SPT(16)	2324037180746266537	0 10 16 30 100 156 226 244 252 270 340 396 466 480 486 496	-1222403058604
STPT(10)	2324037430143913241	0 2 6 8 18 20 30 32 36 38	-973005411900
TPT(14)	2324037432267096737	0 2 90 92 102 104 114 116 120 122 162 164 174 176	-970882228404
SPT(16)	2324037939612082279	0 34 42 60 70 108 144 150 172 178 214 252 262 280 288 322	-463537242862
SPT(16)	2324038355805685027	0 22 34 66 82 90 112 120 136 144 166 174 190 222 234 256	-47343640114
SPT(16)	2324038734128643247	0 46 70 114 130 136 244 280 360 396 504 510 526 570 594 640	330979318106
STPT(10)	2324039215561361339	0 2 18 20 30 32 42 44 60 62	812412036198
SPT(16)	2324039242798467277	0 52 70 94 96 102 124 144 292 312 334 340 342 366 384 436	839649142136
STPT(10)	2324039283661325939	0 2 42 44 60 62 78 80 120 122	880512000798
STPT(10)	2324039318722068047	0 2 42 44 72 74 102 104 144 146	915572742906