Prime p₀= 2056818412767146627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: vinn@[CNT]
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2056817449754702917	0 24 42 64 90 102 106 172 174 240 244 256 282 304 322 346	-963012443710
STPT(10)	2056817645734884257	0 2 30 32 42 44 54 56 84 86	-767032262370
STPT(10)	2056817738255623631	0 2 36 38 78 80 120 122 156 158	-674511522996
TPT(14)	2056817918271299969	0 2 30 32 60 62 78 80 120 122 198 200 288 290	-494495846658
TPT(14)	2056818305589979199	0 2 30 32 72 74 162 164 168 170 240 242 300 302	-107177167428
SPT(16)	2056818407253614273	0 20 36 80 104 114 188 230 234 276 350 360 384 428 444 464	-5513532354
SPT(16)	2056818991236003089	0 44 50 54 90 170 174 182 342 350 354 434 470 474 480 524	578468856462
STPT(10)	2056819382111378627	0 2 12 14 42 44 72 74 84 86	969344232000
STPT(10)	2056819498005267407	0 2 24 26 42 44 60 62 84 86	1085238120780
SPT(16)	2056819501883488723	0 10 36 64 78 90 108 118 156 166 184 196 210 238 264 274	1089116342096
SPT(16)	2056819548152959781	0 38 60 66 90 102 122 132 266 276 296 308 332 338 360 398	1135385813154