Prime p₀= 1167647020622613827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 10 2 10 2 88 2 (?)
a_n: 0 2 90 92 102 104 114 116 204 206
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: 206
Found by: JonS
db: batch=77, k=10, 2 88 2 10 2

SPT(16)	1167645961209817153	0 30 78 84 94 108 130 166 168 204 226 240 250 256 304 334	-1059412796674
STPT(10)	1167646030948070519	0 2 18 20 30 32 42 44 60 62	-989674543308
SPT(16)	1167646075291972841	0 42 66 96 102 180 186 192 350 356 362 440 446 476 500 542	-945330640986
STPT(12)	1167646333988010011	0 2 36 38 48 50 78 80 90 92 126 128	-686634603816
STPT(10)	1167646348091444231	0 2 6 8 48 50 90 92 96 98	-672531169596
SPT(16)	1167646845001176251	0 6 20 56 108 126 132 182 186 236 242 260 312 348 362 368	-175621437576
STPT(10)	1167647122202172251	0 2 6 8 48 50 90 92 96 98	101579558424
SPT(16)	1167648151570627607	0 14 24 26 44 56 62 96 140 174 180 192 210 212 222 236	1130948013780
STPT(10)	1167648238700724689	0 2 18 20 30 32 42 44 60 62	1218078110862
STPT(10)	1167648462540040301	0 2 6 8 18 20 30 32 36 38	1441917426474
SPT(16)	1167648543942133691	0 6 8 18 36 42 78 86 102 110 146 152 170 180 182 188	1523319519864