Prime p₀= 801623543136392057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: GLeeM
db: batch=73, k=10, 2 10 2 118 2

SPT(16)	801622432006483027	0 40 70 72 76 96 132 150 166 184 220 240 244 246 276 316	-1111129909030
SPT(16)	801623010557318083	0 10 28 36 66 114 136 150 154 168 190 238 268 276 294 304	-532579073974
STPT(10)	801623153191180277	0 2 42 44 72 74 102 104 144 146	-389945211780
SPT(16)	801623241673070053	0 4 28 48 54 118 174 186 238 250 306 370 376 396 420 424	-301463322004
SPT(16)	801623262708110189	0 42 48 62 92 120 138 158 204 224 242 270 300 314 320 362	-280428281868
SPT(16)	801623307652153501	0 16 22 28 82 100 130 160 168 198 228 246 300 306 312 328	-235484238556
TPT(14)	801623599040151779	0 2 12 14 90 92 108 110 132 134 168 170 180 182	55903759722
STPT(12)	801623993872181057	0 2 30 32 54 56 90 92 114 116 144 146	450735789000
STPT(10)	801624051663493559	0 2 48 50 90 92 132 134 180 182	508527101502
TPT(14)	801624463949365919	0 2 42 44 120 122 198 200 258 260 288 290 330 332	920812973862
SPT(16)	801624667590253723	0 46 150 156 168 216 250 306 340 396 430 478 490 496 600 646	1124453861666