Prime p₀= 2733162746670933737 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

SPT(16)	2733161226624728857	0 16 24 42 66 94 96 286 300 490 492 520 544 562 570 586	-1520046204880
SPT(20)	2733161258440643081	0 2 42 78 98 150 176 218 296 308 360 372 450 492 518 570 590 626 666 668	-1488230290656
STPT(10)	2733161363296023599	0 2 30 32 60 62 90 92 120 122	-1383374910138
SPT(16)	2733161424380894191	0 10 58 70 100 102 112 130 180 198 208 210 240 252 300 310	-1322290039546
SPT(16)	2733162269306439721	0 36 66 90 126 150 156 192 196 232 238 262 298 322 352 388	-477364494016
STPT(10)	2733162497425230989	0 2 18 20 30 32 42 44 60 62	-249245702748
STPT(10)	2733164072813554337	0 2 60 62 72 74 84 86 144 146	1326142620600
STPT(10)	2733164319431934917	0 2 12 14 42 44 72 74 84 86	1572761001180
STPT(10)	2733164395887502271	0 2 30 32 60 62 90 92 120 122	1649216568534
SPT(16)	2733164470728364459	0 10 28 54 90 100 108 112 120 124 132 142 178 204 222 232	1724057430722
SPT(16)	2733164475308568937	0 4 30 70 94 136 160 214 306 360 384 426 450 490 516 520	1728637635200