Prime p₀= 4044971188595378159 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: Centaur
db: batch=84, k=10, 2 16 2 10 2

SPT(16)	4044969621499316929	0 72 84 90 118 150 168 174 178 184 202 234 262 268 280 352	-1567096061230
STPT(12)	4044970134691354067	0 2 84 86 90 92 174 176 180 182 264 266	-1053904024092
STPT(10)	4044970626411094307	0 2 54 56 72 74 90 92 144 146	-562184283852
STPT(10)	4044970702790687669	0 2 18 20 30 32 42 44 60 62	-485804690490
SPT(16)	4044970856733832733	0 8 30 54 68 108 114 138 140 164 170 210 224 248 270 278	-331861545426
SPT(16)	4044970971700274437	0 24 30 40 54 84 136 142 174 180 232 262 276 286 292 316	-216895103722
SPT(16)	4044971404587784933	0 28 36 78 150 190 196 210 226 240 246 286 358 400 408 436	215992406774
SPT(16)	4044971426549695189	0 10 28 72 168 172 198 300 382 484 510 514 610 654 672 682	237954317030
STPT(10)	4044971479873036091	0 2 36 38 78 80 120 122 156 158	291277657932
STPT(10)	4044971782300463681	0 2 6 8 18 20 30 32 36 38	593705085522
STPT(10)	4044972127394292509	0 2 18 20 30 32 42 44 60 62	938798914350