Prime p₀= 1147358153850129041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Alnitak2019
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1147356907460578471	0 18 70 108 112 118 130 132 196 198 210 216 220 258 310 328	-1246389550570
STPT(10)	1147356986333642267	0 2 30 32 42 44 54 56 84 86	-1167516486774
SPT(16)	1147357090633789067	0 2 32 36 60 96 102 116 180 194 200 236 260 264 294 296	-1063216339974
SPT(16)	1147357130384292907	0 52 70 72 102 132 136 154 192 210 214 244 274 276 294 346	-1023465836134
SPT(16)	1147357208271767221	0 40 106 186 190 208 222 226 252 256 270 288 292 372 438 478	-945578361820
STPT(10)	1147357912789948757	0 2 42 44 72 74 102 104 144 146	-241060180284
SPT(16)	1147358499111669263	0 14 26 56 86 150 156 170 180 194 200 264 294 324 336 350	345261540222
SPT(16)	1147358571586996991	0 26 60 66 138 140 176 180 188 192 228 230 302 308 342 368	417736867950
SPT(16)	1147358578284850699	0 18 40 88 130 148 150 160 180 190 192 210 252 300 322 340	424434721658
SPT(18)	1147358654543113373	0 8 30 36 78 84 110 140 144 170 174 204 230 236 278 284 306 314	500692984332
SPT(16)	1147358851752240217	0 10 12 76 100 112 132 142 150 160 180 192 216 280 282 292	697902111176