Prime p₀= 2039053706786779559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2039051325841597517	0 2 72 74 102 104 132 134 204 206	-2380945182042
TPT(14)	2039051604010761839	0 2 30 32 42 44 78 80 90 92 168 170 252 254	-2102776017720
STPT(10)	2039051700414248369	0 2 48 50 90 92 132 134 180 182	-2006372531190
STPT(10)	2039051876120777897	0 2 30 32 42 44 54 56 84 86	-1830666001662
STPT(10)	2039052494397517769	0 2 18 20 30 32 42 44 60 62	-1212389261790
STPT(10)	2039053624142960387	0 2 30 32 42 44 54 56 84 86	-82643819172
SPT(16)	2039053949909945191	0 6 16 48 58 60 72 132 136 196 208 210 220 252 262 268	243123165632
SPT(16)	2039054149124087351	0 32 50 60 92 132 152 158 330 336 356 396 428 438 456 488	442337307792
STPT(10)	2039054341853651117	0 2 30 32 72 74 114 116 144 146	635066871558
SPT(16)	2039054636402656573	0 10 18 70 94 96 150 156 178 184 238 240 264 316 324 334	929615877014
SPT(16)	2039055001558023677	0 30 42 50 54 74 104 152 204 252 282 302 306 314 326 356	1294771244118