Prime p₀= 2165069668043181041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2165068271503200307	0 12 40 46 72 100 102 114 142 154 156 184 210 216 244 256	-1396539980734
STPT(10)	2165068674600701081	0 2 36 38 78 80 120 122 156 158	-993442479960
STPT(10)	2165068982100033797	0 2 60 62 72 74 84 86 144 146	-685943147244
STPT(10)	2165069251752175031	0 2 90 92 198 200 306 308 396 398	-416291006010
SPT(16)	2165069589383498879	0 14 60 68 170 200 240 312 350 422 462 492 594 602 648 662	-78659682162
TPT(14)	2165069608288384139	0 2 12 14 60 62 138 140 210 212 222 224 240 242	-59754796902
TPT(14)	2165069771252582417	0 2 12 14 114 116 144 146 234 236 240 242 252 254	103209401376
SPT(16)	2165069885351663989	0 34 48 70 90 130 168 228 244 304 342 382 402 424 438 472	217308482948
STPT(10)	2165070262970685491	0 2 36 38 78 80 120 122 156 158	594927504450
STPT(10)	2165070361024327199	0 2 18 20 60 62 102 104 120 122	692981146158
SPT(16)	2165070450354448291	0 12 72 88 100 118 130 142 186 198 210 228 240 256 316 328	782311267250