Prime p₀= 2059896259271982871 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 70 12 8 40 6 36 8 28 8 36 6 40 8 12 70 (?)
a_n: 0 70 82 90 130 136 172 180 208 216 252 258 298 306 318 388
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: 388
Found by: Landjunge
db: batch=80, k=16, 70 12 8 40 6 36 8 28

SPT(16)	2059895795944514699	0 8 12 20 72 78 92 108 152 168 182 188 240 248 252 260	-463327468172
STPT(10)	2059895969929280771	0 2 36 38 78 80 120 122 156 158	-289342702100
STPT(10)	2059896012091860491	0 2 6 8 48 50 90 92 96 98	-247180122380
TPT(14)	2059896138382935857	0 2 12 14 30 32 42 44 90 92 102 104 132 134	-120889047014
SPT(16)	2059896166443448549	0 24 34 40 42 54 72 84 100 112 130 142 144 150 160 184	-92828534322
STPT(10)	2059896177677890337	0 2 30 32 60 62 90 92 120 122	-81594092534
SPT(16)	2059896387762901859	0 42 44 54 80 114 152 164 210 222 260 294 320 330 332 374	128490918988
SPT(16)	2059896421613357549	0 14 60 62 84 110 122 144 230 252 264 290 312 314 360 374	162341374678
SPT(16)	2059896771841055083	0 18 70 88 126 138 150 178 228 256 268 280 318 336 388 406	512569072212
SPT(16)	2059897174832702509	0 64 78 90 100 132 154 168 184 198 220 252 262 274 288 352	915560719638
TPT(14)	2059897304093770949	0 2 12 14 132 134 150 152 162 164 168 170 210 212	1044821788078