Prime p₀= 781052608243262021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG]steini
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	781051283634340079	0 14 50 54 60 62 84 102 212 230 252 254 260 264 300 314	-1324608921942
STPT(10)	781051394786072489	0 2 48 50 60 62 72 74 120 122	-1213457189532
TPT(14)	781051520322041921	0 2 30 32 78 80 108 110 198 200 276 278 366 368	-1087921220100
STPT(10)	781051732068563309	0 2 48 50 90 92 132 134 180 182	-876174698712
SPT(16)	781052097894329039	0 44 62 98 128 132 174 270 272 368 410 414 444 480 498 542	-510348932982
SPT(16)	781052381245634999	0 12 78 102 152 168 218 222 350 354 404 420 470 494 560 572	-226997627022
SPT(16)	781052693281338689	0 12 74 98 110 128 158 170 222 234 264 282 294 318 380 392	85038076668
STPT(10)	781053096604204817	0 2 30 32 42 44 54 56 84 86	488360942796
SPT(16)	781053234595187009	0 18 24 30 80 108 110 144 164 198 200 228 278 284 290 308	626351924988
STPT(12)	781053473621707829	0 2 30 32 102 104 138 140 210 212 240 242	865378445808
SPT(16)	781053627227006431	0 16 36 46 72 156 160 198 370 408 412 496 522 532 552 568	1018983744410