Prime p₀= 1597436758230066569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: biodoc
db: batch=78, k=10, 2 10 2 16 2

SPT(16)	1597436201727445267	0 24 40 82 90 172 174 184 210 220 222 304 312 354 370 394	-556502621302
STPT(10)	1597436534460412727	0 2 54 56 72 74 90 92 144 146	-223769653842
SPT(16)	1597436579269756469	0 14 24 32 54 80 98 102 230 234 252 278 300 308 318 332	-178960310100
SPT(16)	1597436629618243537	0 16 22 30 40 76 82 132 154 204 210 246 256 264 270 286	-128611823032
STPT(10)	1597436675546432429	0 2 42 44 60 62 78 80 120 122	-82683634140
SPT(16)	1597436680814547667	0 42 76 90 100 132 156 162 190 196 220 252 262 276 310 352	-77415518902
STPT(10)	1597437063612440747	0 2 30 32 72 74 114 116 144 146	305382374178
TPT(14)	1597437364783930601	0 2 126 128 150 152 156 158 240 242 330 332 378 380	606553864032
STPT(10)	1597437976738503839	0 2 18 20 30 32 42 44 60 62	1218508437270
SPT(16)	1597438163188214257	0 54 70 72 84 96 120 136 210 226 250 262 274 276 292 346	1404958147688
SPT(16)	1597438369453343057	0 26 32 44 56 86 102 120 176 194 210 240 252 264 270 296	1611223276488