Prime p₀= 2310257160957678533 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 16 24 18 68 6 6 22 6 6 68 18 24 16 68 (?)
a_n: 0 68 84 108 126 194 200 206 228 234 240 308 326 350 366 434
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: 434
Found by: FritzB
db: batch=81, k=16, 68 16 24 18 68 6 6 22

SPT(16)	2310256256034795647	0 24 74 90 126 132 134 152 174 192 194 200 236 252 302 326	-904922882886
STPT(10)	2310256620327983807	0 2 30 32 42 44 54 56 84 86	-540629694726
TPT(14)	2310256761617888537	0 2 24 26 54 56 60 62 102 104 150 152 192 194	-399339789996
STPT(10)	2310256815457097861	0 2 6 8 48 50 90 92 96 98	-345500580672
STPT(10)	2310256932003910817	0 2 54 56 72 74 90 92 144 146	-228953767716
TPT(14)	2310256983965663039	0 2 60 62 72 74 102 104 138 140 192 194 222 224	-176992015494
STPT(10)	2310257318550369647	0 2 30 32 42 44 54 56 84 86	157592691114
STPT(10)	2310257399178985967	0 2 42 44 72 74 102 104 144 146	238221307434
SPT(16)	2310257538179782267	0 4 30 76 90 96 124 154 156 186 214 220 234 280 306 310	377222103734
TPT(14)	2310257539982568269	0 2 120 122 132 134 252 254 288 290 300 302 342 344	379024889736
SPT(16)	2310257619526109041	0 46 78 178 246 252 288 298 360 370 406 412 480 580 612 658	458568430508