Prime p₀= 1000788005829586589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1000786378075222493	0 24 44 96 104 138 174 188 216 230 266 300 308 360 380 404	-1627754364096
SPT(16)	1000786820720229649	0 58 72 82 84 94 108 120 172 184 198 208 210 220 234 292	-1185109356940
SPT(16)	1000786844879890483	0 28 60 78 84 106 130 148 156 174 198 220 226 244 276 304	-1160949696106
SPT(16)	1000786956065382953	0 18 20 36 48 56 78 90 146 158 180 188 200 216 218 236	-1049764203636
STPT(10)	1000787588277342947	0 2 42 44 72 74 102 104 144 146	-417552243642
SPT(16)	1000787800425448583	0 6 20 48 56 78 86 126 170 210 218 240 248 276 290 296	-205404138006
SPT(16)	1000788376749546991	0 36 40 78 100 112 156 160 168 172 216 228 250 288 292 328	370919960402
SPT(16)	1000789056072402767	0 2 56 74 140 146 150 164 192 206 210 216 282 300 354 356	1050242816178
TPT(14)	1000789067142650111	0 2 6 8 96 98 126 128 186 188 210 212 300 302	1061313063522
SPT(16)	1000789174646516999	0 30 32 44 74 120 122 150 182 210 212 258 288 300 302 332	1168816930410
STPT(10)	1000789291253159669	0 2 18 20 30 32 42 44 60 62	1285423573080