Prime p₀= 2972584073073704657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2972583556958730347	0 90 132 152 182 240 252 260 336 344 356 414 444 464 506 596	-516114974310
STPT(10)	2972583679753620587	0 2 30 32 72 74 114 116 144 146	-393320084070
TPT(14)	2972583723998447981	0 2 78 80 156 158 186 188 378 380 468 470 606 608	-349075256676
SPT(16)	2972583740749961999	0 8 14 24 72 122 188 198 224 234 300 350 398 408 414 422	-332323742658
TPT(14)	2972583753339738689	0 2 60 62 72 74 180 182 222 224 228 230 240 242	-319733965968
SPT(16)	2972584005540747503	0 26 78 86 98 114 140 164 180 204 230 246 258 266 318 344	-67532957154
SPT(13)	2972584239858685873	0 18 54 78 108 120 144 168 180 210 234 270 288	166784981216
STPT(10)	2972584292449901159	0 2 18 20 30 32 42 44 60 62	219376196502
SPT(16)	2972584301215032359	0 30 120 164 170 174 252 258 284 290 368 372 378 422 512 542	228141327702
STPT(10)	2972584656523469147	0 2 30 32 42 44 54 56 84 86	583449764490
SPT(16)	2972584962704364233	0 6 14 98 116 158 210 224 300 314 366 408 426 510 518 524	889630659576