Prime p₀= 2125082802840255677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2125081606419425441	0 6 20 42 126 140 146 170 198 222 228 242 326 348 362 368	-1196420830236
STPT(10)	2125081913624532671	0 2 6 8 48 50 90 92 96 98	-889215723006
STPT(10)	2125082136306090257	0 2 72 74 102 104 132 134 204 206	-666534165420
STPT(10)	2125082136695798177	0 2 42 44 72 74 102 104 144 146	-666144457500
SPT(16)	2125082361141716759	0 14 38 54 60 90 102 200 222 320 332 362 368 384 408 422	-441698538918
STPT(10)	2125082525232535049	0 2 18 20 30 32 42 44 60 62	-277607720628
STPT(10)	2125083360203195009	0 2 48 50 60 62 72 74 120 122	557362939332
SPT(16)	2125083387155672081	0 8 20 26 42 48 56 80 108 132 140 146 162 168 180 188	584315416404
SPT(16)	2125083400824940397	0 6 30 44 72 74 86 174 182 270 282 284 312 326 350 356	597984684720
STPT(12)	2125083465426797879	0 2 78 80 90 92 168 170 180 182 258 260	662586542202
STPT(10)	2125083689583495461	0 2 6 8 18 20 30 32 36 38	886743239784