Prime p₀= 2397225048356266127 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: Dirk Broer
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2397222936132155437	0 34 40 64 174 190 234 246 250 262 306 322 432 456 462 496	-2112224110690
SPT(16)	2397223056493470451	0 30 46 58 70 78 88 126 130 168 178 186 198 210 226 256	-1991862795676
STPT(10)	2397223324721286377	0 2 30 32 42 44 54 56 84 86	-1723634979750
STPT(10)	2397223370131789877	0 2 30 32 42 44 54 56 84 86	-1678224476250
STPT(10)	2397223416789002237	0 2 42 44 72 74 102 104 144 146	-1631567263890
SPT(16)	2397224914062803663	0 14 90 104 108 144 210 300 374 464 530 566 570 584 660 674	-134293462464
SPT(16)	2397225155118518969	0 12 38 80 110 144 164 170 252 258 278 312 342 384 410 422	106762252842
STPT(10)	2397225345458590037	0 2 30 32 42 44 54 56 84 86	297102323910
TPT(14)	2397225352280185157	0 2 12 14 84 86 90 92 132 134 150 152 234 236	303923919030
SPT(16)	2397225872803473913	0 6 10 66 84 90 130 154 276 300 340 346 364 420 424 430	824447207786
STPT(10)	2397226809744160661	0 2 36 38 78 80 120 122 156 158	1761387894534