Prime p₀= 2142291660798380627 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: Boliver
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2142290768074637009	0 14 30 44 74 78 102 110 162 170 194 198 228 242 258 272	-892723743618
SPT(16)	2142290872445801201	0 12 80 108 122 152 168 176 192 200 216 246 260 288 356 368	-788352579426
SPT(16)	2142291193917954073	0 36 40 60 66 88 96 150 184 238 246 268 274 294 298 334	-466880426554
SPT(16)	2142291376597500991	0 10 76 88 100 108 132 156 232 256 280 288 300 312 378 388	-284200879636
SPT(16)	2142291483522970393	0 4 18 78 106 130 144 174 190 220 234 258 286 346 360 364	-177275410234
SPT(16)	2142291626955360367	0 40 82 84 126 156 166 210 286 330 340 370 412 414 456 496	-33843020260
STPT(10)	2142291678499371557	0 2 54 56 72 74 90 92 144 146	17700990930
TPT(14)	2142291999700502891	0 2 36 38 48 50 90 92 96 98 126 128 150 152	338902122264
SPT(16)	2142292011847514357	0 24 50 74 122 200 260 270 284 294 354 432 480 504 530 554	351049133730
STPT(10)	2142292176667501457	0 2 30 32 42 44 54 56 84 86	515869120830
STPT(10)	2142292423127807141	0 2 36 38 78 80 120 122 156 158	762329426514