Prime p₀= 2112280967161187321 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: Dingo
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2112279198280847741	0 26 36 48 60 78 126 138 188 200 248 266 278 290 300 326	-1768880339580
STPT(10)	2112279200858302031	0 2 6 8 48 50 90 92 96 98	-1766302885290
STPT(10)	2112279225707663531	0 2 36 38 78 80 120 122 156 158	-1741453523790
SPT(16)	2112280674986733509	0 20 90 102 170 222 278 282 308 312 368 420 488 500 570 590	-292174453812
SPT(16)	2112280796909565619	0 24 30 52 82 94 130 138 184 192 228 240 270 292 298 322	-170251621702
STPT(10)	2112280891206830987	0 2 30 32 42 44 54 56 84 86	-75954356334
STPT(10)	2112280996748058317	0 2 30 32 42 44 54 56 84 86	29586870996
STPT(10)	2112281048264004719	0 2 12 14 90 92 168 170 180 182	81102817398
SPT(16)	2112281141333010119	0 8 20 42 92 134 168 170 222 224 258 300 350 372 384 392	174171822798
STPT(12)	2112281190066126929	0 2 42 44 90 92 120 122 168 170 210 212	222904939608
SPT(16)	2112281515755220169	0 12 38 50 68 90 132 152 288 308 350 372 390 402 428 440	548594032848