Prime p₀= 1231564681572308507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: stoneageman
db: batch=77, k=10, 2 52 2 16 2

SPT(16)	1231563271831327933	0 10 54 78 94 106 120 130 144 154 168 180 196 220 264 274	-1409740980574
STPT(10)	1231563561917273267	0 2 12 14 72 74 132 134 144 146	-1119655035240
STPT(10)	1231564034950447379	0 2 18 20 30 32 42 44 60 62	-646621861128
STPT(10)	1231564270973000147	0 2 30 32 42 44 54 56 84 86	-410599308360
STPT(10)	1231564322925830651	0 2 6 8 18 20 30 32 36 38	-358646477856
SPT(16)	1231564580412200033	0 6 18 48 86 98 116 140 174 198 216 228 266 296 308 314	-101160108474
STPT(10)	1231564727665572371	0 2 36 38 78 80 120 122 156 158	46093263864
TPT(14)	1231565585111974991	0 2 138 140 180 182 228 230 258 260 366 368 378 380	903539666484
SPT(16)	1231566036196880311	0 42 48 76 78 88 102 120 208 226 240 250 252 280 286 328	1354624571804
SPT(16)	1231566460450315499	0 2 24 38 42 54 60 74 138 152 158 170 174 188 210 212	1778878006992
SPT(16)	1231566513842165321	0 6 72 120 126 170 216 228 230 242 288 332 338 386 452 458	1832269856814