Prime p₀= 1532957410550453357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: crashtech
db: batch=78, k=10, 2 28 2 10 2

SPT(20)	1532956281570692929	0 12 48 52 114 208 322 328 352 364 408 420 444 450 564 658 720 724 760 772	-1128979760428
SPT(16)	1532956452671205259	0 42 52 60 78 90 112 150 190 228 250 262 280 288 298 340	-957879248098
SPT(16)	1532956619001417361	0 16 48 52 108 118 126 136 222 232 240 250 306 310 342 358	-791549035996
STPT(10)	1532956986387017027	0 2 12 14 72 74 132 134 144 146	-424163436330
TPT(14)	1532957202920975939	0 2 30 32 42 44 48 50 90 92 132 134 162 164	-207629477418
TPT(14)	1532957255986241609	0 2 12 14 18 20 60 62 102 104 138 140 168 170	-154564211748
TPT(14)	1532957530311225659	0 2 42 44 90 92 102 104 168 170 180 182 240 242	119760772302
SPT(16)	1532957755888043503	0 6 18 40 124 160 238 256 288 306 384 420 504 526 538 544	345337590146
SPT(16)	1532957952261118189	0 28 100 120 148 154 174 190 198 214 234 240 268 288 360 388	541710664832
SPT(16)	1532957973609866777	0 50 74 80 86 176 180 182 264 266 270 360 366 372 396 446	563059413420
STPT(10)	1532958398897439329	0 2 12 14 30 32 48 50 60 62	988346985972