Prime p₀= 1273814908005595367 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: HenkM
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1273814131462142087	0 42 54 90 110 140 174 182 192 200 234 264 284 320 332 374	-776543453280
STPT(10)	1273814218138772207	0 2 60 62 72 74 84 86 144 146	-689866823160
TPT(14)	1273814361575723081	0 2 30 32 36 38 48 50 90 92 168 170 228 230	-546429872286
SPT(16)	1273814471285879987	0 14 24 80 84 90 140 192 272 324 374 380 384 440 450 464	-436719715380
SPT(16)	1273814645328537293	0 18 66 78 120 126 134 164 270 300 308 314 356 368 416 434	-262677058074
SPT(16)	1273814857616198003	0 36 74 84 96 110 116 134 210 228 234 248 260 270 308 344	-50389397364
SPT(16)	1273814995653045451	0 6 40 48 82 132 162 190 228 256 286 336 370 378 412 418	87647450084
SPT(16)	1273815035103537503	0 54 90 98 104 108 110 128 150 168 170 174 180 188 224 278	127097942136
TPT(14)	1273815115853796749	0 2 30 32 48 50 78 80 120 122 288 290 330 332	207848201382
STPT(10)	1273815282664105541	0 2 6 8 48 50 90 92 96 98	374658510174
SPT(16)	1273815293186866847	0 32 62 92 96 110 146 162 200 216 252 266 270 300 330 362	385181271480