Prime p₀= 3057039982114374437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=83, k=10, 2 22 2 16 2

STPT(10)	3057037377426825971	0 2 6 8 48 50 90 92 96 98	-2604687548466
SPT(16)	3057037402978724713	0 10 30 34 48 100 114 144 160 190 204 256 270 274 294 304	-2579135649724
SPT(16)	3057037500372098557	0 6 52 70 72 142 220 234 262 276 354 424 426 444 490 496	-2481742275880
TPT(14)	3057037544938021301	0 2 18 20 126 128 150 152 156 158 198 200 270 272	-2437176353136
SPT(16)	3057037949834176747	0 6 22 24 66 84 112 124 162 174 202 220 262 264 280 286	-2032280197690
SPT(16)	3057039645048037723	0 6 54 70 106 120 210 258 286 334 424 438 474 490 538 544	-337066336714
SPT(16)	3057040334568766589	0 2 24 102 158 168 192 222 350 380 404 414 470 548 570 572	352454392152
STPT(10)	3057040531607363627	0 2 30 32 42 44 54 56 84 86	549492989190
SPT(16)	3057040538148486941	0 42 50 80 122 140 156 200 342 386 402 420 462 492 500 542	556034112504
STPT(10)	3057040576682476229	0 2 18 20 30 32 42 44 60 62	594568101792
STPT(10)	3057040779107886119	0 2 48 50 90 92 132 134 180 182	796993511682