Prime p₀= 2070600428906839787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Cruncher Pete
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2070599065834587241	0 18 22 30 42 48 52 70 108 126 130 136 148 156 160 178	-1363072252546
TPT(14)	2070599311088941979	0 2 12 14 90 92 150 152 162 164 360 362 420 422	-1117817897808
SPT(16)	2070599364106338973	0 6 48 66 78 90 160 208 246 294 364 376 388 406 448 454	-1064800500814
SPT(16)	2070599599137485051	0 12 48 152 168 198 206 210 278 282 290 320 336 440 476 488	-829769354736
STPT(10)	2070599747155774529	0 2 30 32 60 62 90 92 120 122	-681751065258
SPT(16)	2070599865177441151	0 22 28 36 42 58 88 130 168 210 240 256 262 270 276 298	-563729398636
SPT(16)	2070600510572052607	0 4 12 16 40 42 46 82 84 120 124 126 150 154 162 166	81665212820
STPT(10)	2070600682523595119	0 2 18 20 30 32 42 44 60 62	253616755332
TPT(14)	2070601058556323297	0 2 12 14 30 32 90 92 132 134 210 212 342 344	629649483510
TPT(14)	2070601350868993667	0 2 30 32 72 74 84 86 90 92 114 116 174 176	921962153880
STPT(10)	2070601550347946171	0 2 78 80 108 110 138 140 216 218	1121441106384