Prime p₀= 3034431139215052037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3034429933981589939	0 48 78 92 108 182 188 200 210 222 228 302 318 332 362 410	-1205233462098
SPT(16)	3034430119839509311	0 6 30 46 76 118 126 142 156 172 180 222 252 268 292 298	-1019375542726
STPT(10)	3034430197392494777	0 2 30 32 60 62 90 92 120 122	-941822557260
SPT(18)	3034430569669461139	0 22 30 78 84 90 94 102 130 132 160 168 172 178 184 232 240 262	-569545590898
STPT(10)	3034430771865197657	0 2 30 32 42 44 54 56 84 86	-367349854380
STPT(10)	3034430838276657299	0 2 18 20 30 32 42 44 60 62	-300938394738
SPT(16)	3034431226534631449	0 12 18 78 88 114 138 142 210 214 238 264 274 334 340 352	87319579412
STPT(10)	3034431547863419201	0 2 36 38 78 80 120 122 156 158	408648367164
STPT(10)	3034431572370143987	0 2 30 32 42 44 54 56 84 86	433155091950
SPT(16)	3034431777626295583	0 40 60 108 138 150 168 180 208 220 238 250 280 328 348 388	638411243546
SPT(16)	3034432017638979941	0 120 158 236 252 258 278 282 326 330 350 356 372 450 488 608	878423927904