Prime p₀= 767852431584571787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Daniel
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	767851662416478007	0 12 40 46 76 106 130 132 154 156 180 210 240 246 274 286	-769168093780
SPT(16)	767851812856356629	0 42 74 108 120 150 218 234 368 384 452 482 494 528 560 602	-618728215158
SPT(16)	767851843666635881	0 32 38 66 86 98 132 152 186 206 240 252 272 300 306 338	-587917935906
SPT(16)	767851995804408379	0 12 18 22 28 112 118 120 130 132 138 222 228 232 238 250	-435780163408
SPT(16)	767852101185932053	0 46 84 114 120 126 196 210 244 258 328 334 340 370 408 454	-330398639734
SPT(16)	767852218062010547	0 14 56 92 102 144 174 186 200 212 242 284 294 330 372 386	-213522561240
STPT(10)	767852802142235387	0 2 30 32 42 44 54 56 84 86	370557663600
TPT(14)	767853031614380051	0 2 18 20 30 32 96 98 156 158 168 170 198 200	600029808264
STPT(10)	767853052961443451	0 2 36 38 78 80 120 122 156 158	621376871664
STPT(10)	767853086813402501	0 2 6 8 18 20 30 32 36 38	655228830714
SPT(16)	767853338309697793	0 4 6 10 24 46 70 76 108 114 138 160 174 178 180 184	906725126006