Prime p₀= 1024742702232906257 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1024741160168968367	0 2 30 32 72 74 114 116 144 146	-1542063937890
SPT(16)	1024741313962506781	0 6 28 42 88 90 132 142 186 196 238 240 286 300 322 328	-1388270399476
SPT(16)	1024741385551826983	0 10 18 54 60 84 94 96 118 120 130 154 160 196 204 214	-1316681079274
TPT(14)	1024741745080397921	0 2 36 38 96 98 108 110 120 122 168 170 210 212	-957152508336
STPT(10)	1024742088868763561	0 2 6 8 18 20 30 32 36 38	-613364142696
SPT(20)	1024742460397600261	0 16 18 36 58 78 132 160 162 172 186 196 198 226 280 300 322 340 342 358	-241835305996
STPT(10)	1024742713526393501	0 2 6 8 48 50 90 92 96 98	11293487244
STPT(10)	1024742824883202749	0 2 18 20 60 62 102 104 120 122	122650296492
STPT(12)	1024742898572147789	0 2 60 62 102 104 108 110 150 152 210 212	196339241532
SPT(16)	1024743111823601669	0 20 38 42 50 92 122 162 188 228 258 300 308 312 330 350	409590695412
SPT(16)	1024743117605909123	0 36 50 86 134 140 168 174 200 206 234 240 288 324 338 374	415373002866