Prime p₀= 3717614738660130359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Sphynx
db: batch=84, k=10, 2 16 2 10 2

SPT(16)	3717613150492552841	0 12 60 80 102 126 168 182 186 200 242 266 288 308 356 368	-1588167577518
STPT(10)	3717613210079058749	0 2 18 20 30 32 42 44 60 62	-1528581071610
SPT(16)	3717613213064169841	0 42 52 90 102 156 162 178 210 226 232 286 298 336 346 388	-1525595960518
SPT(20)	3717613220280041461	0 10 42 58 66 78 100 120 142 156 262 276 298 318 340 352 360 376 408 418	-1518380088898
STPT(10)	3717613798640799401	0 2 36 38 78 80 120 122 156 158	-940019330958
STPT(10)	3717614667205077209	0 2 18 20 30 32 42 44 60 62	-71455053150
STPT(10)	3717614908151278877	0 2 30 32 42 44 54 56 84 86	169491148518
SPT(18)	3717615043696553309	0 38 50 62 78 102 140 144 164 168 188 192 230 254 270 282 294 332	305036422950
SPT(16)	3717615294293128841	0 8 56 68 96 120 138 140 156 158 176 200 228 240 288 296	555632998482
SPT(16)	3717615311048014081	0 6 40 82 112 132 166 180 202 216 250 270 300 342 376 382	572387883722
STPT(10)	3717616519494994841	0 2 6 8 48 50 90 92 96 98	1780834864482