Prime p₀= 2327820509256914429 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: eclipse99
db: batch=81, k=10, 2 16 2 10 2

STPT(12)	2327819406747005177	0 2 12 14 24 26 30 32 42 44 54 56	-1102509909252
SPT(16)	2327819597297526209	0 54 140 150 164 174 230 320 402 492 548 558 572 582 668 722	-911959388220
SPT(16)	2327819671437477199	0 10 48 54 78 90 108 112 120 124 142 154 178 184 222 232	-837819437230
SPT(16)	2327820150284523403	0 10 18 78 84 108 124 138 160 174 190 214 220 280 288 298	-358972391026
STPT(10)	2327820159097268651	0 2 6 8 48 50 90 92 96 98	-350159645778
STPT(10)	2327820179533334579	0 2 42 44 60 62 78 80 120 122	-329723579850
SPT(16)	2327820639934156919	0 12 30 32 48 54 80 84 128 132 158 164 180 182 200 212	130677242490
STPT(10)	2327821212429593987	0 2 12 14 42 44 72 74 84 86	703172679558
SPT(16)	2327821237852940719	0 10 18 42 70 112 130 220 270 360 378 420 448 472 480 490	728596026290
TPT(14)	2327821503572567309	0 2 72 74 102 104 138 140 150 152 168 170 180 182	994315652880
SPT(16)	2327821797080496727	0 10 112 132 136 196 202 216 220 234 240 300 304 324 426 436	1287823582298