Prime p₀= 2820471235857252119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

SPT(20)	2820470187102993851	0 2 26 30 60 86 116 132 140 186 236 282 290 306 336 362 392 396 420 422	-1048754258268
TPT(14)	2820470354124519791	0 2 78 80 90 92 120 122 156 158 210 212 270 272	-881732732328
STPT(10)	2820470553005772767	0 2 42 44 72 74 102 104 144 146	-682851479352
SPT(18)	2820470708423236501	0 6 10 42 66 150 156 196 202 240 246 286 292 376 400 432 436 442	-527434015618
STPT(10)	2820470734013454407	0 2 54 56 72 74 90 92 144 146	-501843797712
SPT(16)	2820471160870839431	0 18 72 90 96 116 170 198 200 228 282 302 308 326 380 398	-74986412688
SPT(16)	2820471265398748769	0 2 12 62 68 84 108 114 188 194 218 234 240 290 300 302	29541496650
TPT(14)	2820471380412103529	0 2 18 20 42 44 60 62 72 74 102 104 138 140	144554851410
STPT(10)	2820471610223653751	0 2 30 32 78 80 126 128 156 158	374366401632
SPT(16)	2820471795113647369	0 90 118 120 168 190 204 220 252 268 282 304 352 354 382 472	559256395250
STPT(10)	2820472111259610287	0 2 30 32 42 44 54 56 84 86	875402358168