Prime p₀= 750669056146560149 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: GLeeM
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	750668551257172111	0 76 82 88 102 120 126 142 186 202 208 226 240 246 252 328	-504889388038
SPT(16)	750668566315807127	0 2 62 72 80 92 132 146 150 164 204 216 224 234 294 296	-489830753022
STPT(10)	750668583076254497	0 2 54 56 72 74 90 92 144 146	-473070305652
SPT(16)	750668736985750697	0 50 72 86 122 126 182 206 210 234 290 294 330 344 366 416	-319160809452
SPT(16)	750668774148224383	0 64 70 78 88 90 100 118 126 144 154 156 166 174 180 244	-281998335766
STPT(10)	750668881524847841	0 2 6 8 48 50 90 92 96 98	-174621712308
STPT(12)	750669135439630931	0 2 30 32 60 62 138 140 168 170 198 200	79293070782
STPT(10)	750669210353347697	0 2 24 26 42 44 60 62 84 86	154206787548
SPT(16)	750669388700977789	0 4 18 54 72 84 124 142 150 168 208 220 238 274 288 292	332554417640
SPT(16)	750669629074491361	0 16 46 76 102 130 132 186 196 250 252 280 306 336 366 382	572927931212
STPT(10)	750669749867267141	0 2 6 8 18 20 30 32 36 38	693720706992