Prime p₀= 2081672453431290719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Orange Kid
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2081671062835969663	0 4 18 34 58 78 114 126 178 190 226 246 270 286 300 304	-1390595321056
TPT(14)	2081671202115143129	0 2 30 32 72 74 78 80 168 170 252 254 318 320	-1251316147590
SPT(16)	2081671211425360099	0 24 42 54 84 102 108 124 138 154 160 178 208 220 238 262	-1242005930620
SPT(16)	2081671873496919701	0 6 12 26 56 62 78 90 98 110 126 132 162 176 182 188	-579934371018
STPT(10)	2081671919674729979	0 2 18 20 60 62 102 104 120 122	-533756560740
SPT(16)	2081672217015556681	0 10 46 60 112 126 190 250 318 378 442 456 508 522 558 568	-236415734038
STPT(10)	2081672628967113599	0 2 18 20 30 32 42 44 60 62	175535822880
STPT(10)	2081672697564363047	0 2 60 62 72 74 84 86 144 146	244133072328
SPT(16)	2081672806278281101	0 6 22 40 88 90 118 156 172 210 238 240 288 306 322 328	352846990382
SPT(16)	2081672849783270869	0 30 34 42 90 94 124 132 160 168 198 202 250 258 262 292	396351980150
STPT(10)	2081673184820439137	0 2 54 56 72 74 90 92 144 146	731389148418