Prime p₀= 2129379033136889291 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: MarkRBright
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2129378268982400327	0 2 12 24 42 170 204 290 306 392 426 554 572 584 594 596	-764154488964
TPT(14)	2129378326464651851	0 2 30 32 66 68 108 110 138 140 198 200 210 212	-706672237440
SPT(16)	2129378519632865309	0 12 72 78 92 168 182 194 198 210 224 300 314 320 380 392	-513504023982
SPT(18)	2129378670986684281	0 16 22 36 66 106 112 162 178 300 316 366 372 412 442 456 462 478	-362150205010
SPT(16)	2129378740576838281	0 6 46 60 72 88 108 112 216 220 240 256 268 282 322 328	-292560051010
SPT(16)	2129378741008923661	0 12 28 36 76 102 130 138 160 168 196 222 262 270 286 298	-292127965630
STPT(10)	2129379636206746037	0 2 90 92 102 104 114 116 204 206	603069856746
SPT(16)	2129380102673365963	0 36 54 64 70 94 114 130 204 220 240 264 270 280 298 334	1069536476672
STPT(10)	2129380165589652137	0 2 30 32 42 44 54 56 84 86	1132452762846
SPT(16)	2129380725643608571	0 66 70 88 138 148 168 186 232 250 270 280 330 348 352 418	1692506719280
STPT(10)	2129381047093740491	0 2 6 8 18 20 30 32 36 38	2013956851200