Prime p₀= 3096743280511122269 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: Groo
db: batch=83, k=10, 2 16 2 10 2

TPT(14)	3096742265840567129	0 2 30 32 42 44 78 80 90 92 162 164 240 242	-1014670555140
TPT(14)	3096742324592038391	0 2 36 38 78 80 90 92 126 128 150 152 168 170	-955919083878
TPT(14)	3096742346194645691	0 2 6 8 90 92 96 98 138 140 180 182 210 212	-934316476578
STPT(10)	3096742836625499639	0 2 42 44 90 92 138 140 180 182	-443885622630
STPT(10)	3096742955446082807	0 2 42 44 72 74 102 104 144 146	-325065039462
TPT(14)	3096743234037028799	0 2 42 44 60 62 240 242 348 350 390 392 450 452	-46474093470
STPT(10)	3096743286406421549	0 2 30 32 120 122 210 212 240 242	5895299280
SPT(16)	3096743434581465931	0 10 16 132 148 150 162 166 192 196 208 210 226 342 348 358	154070343662
SPT(16)	3096744100668895769	0 24 30 54 120 138 164 182 360 378 404 422 488 512 518 542	820157773500
STPT(10)	3096744167049438947	0 2 30 32 42 44 54 56 84 86	886538316678
STPT(10)	3096744294276371327	0 2 30 32 42 44 54 56 84 86	1013765249058