Prime p₀= 876057272425623317 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: jozef j
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	876055247777231539	0 30 64 108 120 138 168 174 184 190 220 238 250 294 328 358	-2024648391778
TPT(14)	876055252238281601	0 2 66 68 78 80 90 92 126 128 180 182 210 212	-2020187341716
TPT(14)	876055876281039029	0 2 42 44 78 80 120 122 132 134 168 170 270 272	-1396144584288
STPT(10)	876056027637529787	0 2 42 44 72 74 102 104 144 146	-1244788093530
SPT(16)	876056449236260129	0 8 54 60 74 104 132 188 264 320 348 378 392 398 444 452	-823189363188
STPT(10)	876056914384627277	0 2 30 32 42 44 54 56 84 86	-358040996040
SPT(16)	876057479130919753	0 28 48 78 118 150 160 174 184 198 208 240 280 310 330 358	206705296436
STPT(12)	876057517538442917	0 2 12 14 30 32 42 44 60 62 72 74	245112819600
STPT(10)	876057522631046981	0 2 36 38 78 80 120 122 156 158	250205423664
SPT(16)	876057691063839751	0 36 48 78 82 130 132 148 150 166 168 216 220 250 262 298	418638216434
TPT(14)	876057882273063911	0 2 36 38 210 212 288 290 390 392 420 422 456 458	609847440594