Prime p₀= 820029723192489377 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: GLeeM
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	820028443628830661	0 2 36 38 78 80 120 122 156 158	-1279563658716
STPT(10)	820028602480487399	0 2 18 20 30 32 42 44 60 62	-1120712001978
STPT(10)	820028787326897117	0 2 30 32 72 74 114 116 144 146	-935865592260
SPT(16)	820028886837950681	0 6 36 86 128 138 146 152 156 162 170 180 222 272 302 308	-836354538696
SPT(16)	820029082659190717	0 4 36 52 60 106 126 144 172 190 210 256 264 280 312 316	-640533298660
SPT(16)	820029550014659797	0 24 36 40 42 112 126 154 192 220 234 304 306 310 322 346	-173177829580
STPT(10)	820029784875231389	0 2 18 20 30 32 42 44 60 62	61682742012
SPT(16)	820029965169764443	0 40 76 78 168 178 184 190 294 300 306 316 406 408 444 484	241977275066
SPT(16)	820030072099312301	0 30 56 86 108 126 156 170 258 272 302 320 342 372 398 428	348906822924
SPT(16)	820030329935489861	0 26 38 60 96 122 132 140 198 206 216 242 278 300 312 338	606743000484
SPT(16)	820030626902212459	0 4 48 88 90 112 132 138 214 220 240 262 264 304 348 352	903709723082