Prime p₀= 2969041601228750657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2969040251243956031	0 2 6 8 18 20 30 32 36 38	-1349984794626
SPT(16)	2969040451857507589	0 24 42 102 108 132 144 150 262 268 280 304 310 370 388 412	-1149371243068
SPT(16)	2969040923619098981	0 20 50 60 72 78 90 116 132 158 170 176 188 198 228 248	-677609651676
STPT(10)	2969041001654865437	0 2 24 26 42 44 60 62 84 86	-599573885220
SPT(16)	2969041133724769067	0 2 12 20 42 56 72 90 152 170 186 200 222 230 240 242	-467503981590
STPT(10)	2969041514469528539	0 2 18 20 30 32 42 44 60 62	-86759222118
SPT(16)	2969042264243883169	0 12 34 40 70 82 88 108 154 174 180 192 222 228 250 262	663015132512
STPT(10)	2969042943761354429	0 2 12 14 30 32 48 50 60 62	1342532603772
STPT(10)	2969042948705328767	0 2 24 26 42 44 60 62 84 86	1347476578110
STPT(10)	2969042958911004791	0 2 6 8 48 50 90 92 96 98	1357682254134
SPT(16)	2969042968225653331	0 60 90 102 136 150 178 220 228 270 298 312 346 358 388 448	1366996902674