Prime p₀= 1089804397050651011 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1089803000994481927	0 54 60 76 114 124 126 154 186 214 216 226 264 280 286 340	-1396056169084
STPT(10)	1089803151008461229	0 2 18 20 30 32 42 44 60 62	-1246042189782
SPT(16)	1089803229453804121	0 6 22 88 130 142 198 216 322 340 396 408 450 516 532 538	-1167596846890
STPT(10)	1089803331613816997	0 2 60 62 102 104 144 146 204 206	-1065436834014
TPT(14)	1089803794104312101	0 2 36 38 48 50 66 68 78 80 126 128 138 140	-602946338910
SPT(16)	1089804295398641651	0 12 38 66 78 140 168 180 218 230 258 320 332 360 386 398	-101652009360
SPT(16)	1089804439777134071	0 6 26 30 42 50 56 92 96 132 138 146 158 162 182 188	42726483060
TPT(14)	1089804618557376077	0 2 24 26 54 56 102 104 180 182 210 212 234 236	221506725066
SPT(16)	1089804694478882647	0 6 40 42 52 82 90 96 166 172 180 210 220 222 256 262	297428231636
SPT(16)	1089804811176142199	0 24 84 90 92 144 194 290 414 510 560 612 614 620 680 704	414125491188
SPT(16)	1089804818561767673	0 26 66 134 156 180 198 200 204 206 224 248 270 338 378 404	421511116662