Prime p₀= 1954029574742595377 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: Ben
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	1954027625454965251	0 6 22 72 78 120 126 132 136 142 148 190 196 246 262 268	-1949287630126
SPT(16)	1954027708670336197	0 12 22 72 112 114 150 156 160 166 202 204 244 294 304 316	-1866072259180
STPT(10)	1954028364595553999	0 2 18 20 30 32 42 44 60 62	-1210147041378
SPT(16)	1954028614575713317	0 6 12 42 70 76 96 120 136 160 180 186 214 244 250 256	-960166882060
TPT(14)	1954029068834240681	0 2 6 8 96 98 108 110 126 128 138 140 180 182	-505908354696
SPT(16)	1954029318000673817	0 12 14 66 114 150 170 222 224 276 296 332 380 432 434 446	-256741921560
STPT(10)	1954029592150832891	0 2 36 38 78 80 120 122 156 158	17408237514
SPT(16)	1954029752590155893	0 8 20 50 56 60 66 188 228 350 356 360 366 396 408 416	177847560516
SPT(16)	1954030316448783107	0 14 36 150 156 164 174 194 276 296 306 314 320 434 456 470	741706187730
SPT(16)	1954030376837232241	0 6 28 48 88 168 210 226 312 328 370 450 490 510 532 538	802094636864
STPT(10)	1954030627612047041	0 2 36 38 78 80 120 122 156 158	1052869451664