Prime p₀= 2567346326509601627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2567345125083441601	0 12 16 22 28 40 42 52 126 136 138 150 156 162 166 178	-1201426160026
SPT(16)	2567345146556530001	0 2 6 12 30 48 72 90 98 116 140 158 176 182 186 188	-1179953071626
SPT(16)	2567345356155326627	0 12 30 66 140 152 206 234 242 270 324 336 410 446 464 476	-970354275000
TPT(14)	2567345687852807429	0 2 12 14 42 44 78 80 138 140 150 152 168 170	-638656794198
STPT(10)	2567345845382271377	0 2 30 32 72 74 114 116 144 146	-481127330250
SPT(16)	2567346169625179529	0 12 14 48 60 72 74 104 108 138 140 152 164 198 200 212	-156884422098
SPT(16)	2567346959022721081	0 30 42 48 82 120 136 150 208 222 238 276 310 316 328 358	632513119454
STPT(10)	2567347275383579831	0 2 6 8 18 20 30 32 36 38	948873978204
STPT(10)	2567347373355267647	0 2 60 62 72 74 84 86 144 146	1046845666020
STPT(10)	2567347462403538317	0 2 24 26 42 44 60 62 84 86	1135893936690
STPT(10)	2567347520520937769	0 2 18 20 30 32 42 44 60 62	1194011336142