Prime p₀= 1044548590078954559 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1044545292077372153	0 68 78 80 96 116 120 164 180 224 228 248 264 266 276 344	-3298001582406
SPT(16)	1044546117159176509	0 28 64 70 120 148 204 210 262 268 324 352 402 408 444 472	-2472919778050
SPT(13)	1044546883176995789	0 24 54 90 108 138 174 210 240 258 294 324 348	-1706901958770
STPT(10)	1044546988543941941	0 2 36 38 78 80 120 122 156 158	-1601535012618
SPT(16)	1044547766405440279	0 28 90 112 120 142 154 160 162 168 180 202 210 232 294 322	-823673514280
SPT(16)	1044548351088244399	0 12 40 52 70 90 102 108 154 160 172 192 210 222 250 262	-238990710160
SPT(16)	1044548960522399723	0 24 44 128 144 158 188 198 200 210 240 254 270 354 374 398	370443445164
TPT(14)	1044548973738931091	0 2 90 92 138 140 156 158 168 170 186 188 228 230	383659976532
STPT(10)	1044549120815429231	0 2 30 32 60 62 90 92 120 122	530736474672
STPT(10)	1044549226616945219	0 2 42 44 60 62 78 80 120 122	636537990660
STPT(10)	1044549276018113231	0 2 36 38 78 80 120 122 156 158	685939158672