Prime p₀= 4044946941025775789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [AF] Kalianthys
db: batch=84, k=10, 2 10 2 76 2

STPT(10)	4044944024144072837	0 2 60 62 72 74 84 86 144 146	-2916881702952
SPT(16)	4044944075386108963	0 18 28 90 120 124 126 186 238 298 300 304 334 396 406 424	-2865639666826
STPT(10)	4044945469251251309	0 2 42 44 90 92 138 140 180 182	-1471774524480
SPT(16)	4044945563453541667	0 34 46 82 84 126 174 180 196 202 250 292 294 330 342 376	-1377572234122
STPT(10)	4044945869444214737	0 2 30 32 72 74 114 116 144 146	-1071581561052
SPT(16)	4044946692936239953	0 4 24 30 66 76 88 118 126 156 168 178 214 220 240 244	-248089535836
STPT(10)	4044947096883404651	0 2 30 32 60 62 90 92 120 122	155857628862
SPT(16)	4044947198993349619	0 12 42 78 84 90 180 204 208 232 322 328 334 370 400 412	257967573830
STPT(10)	4044947264615500679	0 2 42 44 60 62 78 80 120 122	323589724890
STPT(10)	4044947487822088739	0 2 108 110 150 152 192 194 300 302	546796312950
STPT(10)	4044947991735334499	0 2 12 14 90 92 168 170 180 182	1050709558710