Prime p₀= 2036983937523234377 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

STPT(10)	2036982415633761821	0 2 36 38 78 80 120 122 156 158	-1521889472556
SPT(16)	2036982567508580701	0 16 22 48 70 76 100 106 162 168 192 198 220 246 252 268	-1370014653676
SPT(16)	2036982933696640597	0 22 24 76 100 132 174 192 244 262 304 336 360 412 414 436	-1003826593780
SPT(16)	2036982974918644537	0 4 10 16 64 94 96 114 136 154 156 186 234 240 246 250	-962604589840
SPT(16)	2036983270506546587	0 14 42 140 164 194 264 302 324 362 432 462 486 584 612 626	-667016687790
STPT(10)	2036983922672247119	0 2 18 20 30 32 42 44 60 62	-14850987258
SPT(16)	2036983969240412453	0 56 120 140 150 164 204 210 224 230 270 284 294 314 378 434	31717178076
SPT(16)	2036984199021621929	0 32 62 78 102 134 144 192 200 248 258 290 314 330 360 392	261498387552
SPT(16)	2036985316172680253	0 20 66 84 134 200 246 284 360 398 444 510 560 578 624 644	1378649445876
STPT(10)	2036985632379741521	0 2 30 32 78 80 126 128 156 158	1694856507144
STPT(10)	2036985809743012169	0 2 18 20 30 32 42 44 60 62	1872219777792