Prime p₀= 2156943435025490777 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(20)	2156941324727263433	0 80 84 90 128 134 164 168 198 276 308 386 416 420 450 456 494 500 504 584	-2110298227344
SPT(16)	2156941809959922149	0 72 80 140 152 170 222 258 272 308 360 378 390 450 458 530	-1625065568628
TPT(14)	2156942105191995059	0 2 72 74 78 80 198 200 210 212 222 224 252 254	-1329833495718
TPT(14)	2156942482971569771	0 2 30 32 36 38 60 62 78 80 126 128 168 170	-952053921006
SPT(16)	2156942897482874681	0 6 8 32 60 102 146 182 186 222 266 308 336 360 362 368	-537542616096
TPT(14)	2156943352647983519	0 2 12 14 48 50 72 74 102 104 168 170 252 254	-82377507258
SPT(16)	2156943773437647323	0 6 8 30 48 56 78 110 156 188 210 218 236 258 260 266	338412156546
STPT(10)	2156943853102218107	0 2 54 56 72 74 90 92 144 146	418076727330
SPT(16)	2156943910047317837	0 12 20 24 84 102 110 134 150 174 182 200 260 264 272 284	475021827060
SPT(16)	2156943969690595859	0 50 72 74 90 98 104 132 170 198 204 212 228 230 252 302	534665105082
SPT(16)	2156944325571267571	0 6 10 16 76 82 126 132 160 166 210 216 276 282 286 292	890545776794