Prime p₀= 2029878211199173001 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2029877013157502029	0 10 42 48 100 108 112 114 118 120 124 132 184 190 222 232	-1198041670972
TPT(14)	2029877484525223211	0 2 90 92 138 140 156 158 258 260 300 302 306 308	-726673949790
SPT(16)	2029877628327855391	0 40 42 66 72 82 130 172 246 288 336 346 352 376 378 418	-582871317610
TPT(14)	2029877642635579859	0 2 132 134 150 152 192 194 330 332 348 350 402 404	-568563593142
STPT(10)	2029878055534919501	0 2 6 8 18 20 30 32 36 38	-155664253500
STPT(10)	2029878057938225309	0 2 42 44 90 92 138 140 180 182	-153260947692
STPT(10)	2029878341064395741	0 2 6 8 108 110 210 212 216 218	129865222740
SPT(16)	2029878496651162991	0 32 38 72 138 140 228 240 248 260 348 350 416 450 456 488	285451989990
SPT(16)	2029878727852228067	0 20 114 132 152 170 180 192 194 206 216 234 254 272 366 386	516653055066
STPT(10)	2029879027967963111	0 2 30 32 60 62 90 92 120 122	816768790110
STPT(10)	2029879058688765257	0 2 30 32 42 44 54 56 84 86	847489592256