Prime p₀= 2050671408174499049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(18)	2050670654978502577	0 4 52 94 100 150 160 172 180 256 264 276 286 336 342 384 432 436	-753195996472
SPT(16)	2050670821164237137	0 32 50 54 66 92 116 162 224 270 294 320 332 336 354 386	-587010261912
STPT(10)	2050670969053238447	0 2 24 26 42 44 60 62 84 86	-439121260602
SPT(16)	2050671013090071937	0 10 36 42 52 70 76 94 102 120 126 144 154 160 186 196	-395084427112
SPT(16)	2050671176023048679	0 2 8 24 50 72 92 122 210 240 260 282 308 324 330 332	-232151450370
STPT(10)	2050671395053098017	0 2 30 32 72 74 114 116 144 146	-13121401032
SPT(16)	2050671642426375301	0 16 46 48 88 90 100 130 156 186 196 198 238 240 270 286	234251876252
SPT(16)	2050671942144458089	0 10 70 78 84 100 114 132 220 238 252 268 274 282 342 352	533969959040
STPT(10)	2050672026305185649	0 2 42 44 60 62 78 80 120 122	618130686600
STPT(10)	2050672728667945901	0 2 30 32 78 80 126 128 156 158	1320493446852
SPT(16)	2050672748558055137	0 20 60 92 120 174 180 182 222 224 230 284 312 344 384 404	1340383556088