Prime p₀= 1285875288658474271 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1285874127017451667	0 10 36 40 66 70 106 112 150 156 192 196 222 226 252 262	-1161641022604
STPT(10)	1285874452562412257	0 2 30 32 42 44 54 56 84 86	-836096062014
SPT(16)	1285874531497008443	0 26 44 48 56 126 174 198 236 260 308 378 386 390 408 434	-757161465828
STPT(12)	1285874640475394861	0 2 36 38 48 50 78 80 90 92 126 128	-648183079410
SPT(16)	1285874838794969821	0 10 52 58 82 88 112 126 142 156 180 186 210 216 258 268	-449863504450
STPT(10)	1285874883877868657	0 2 90 92 102 104 114 116 204 206	-404780605614
TPT(14)	1285876459834803299	0 2 72 74 78 80 138 140 150 152 192 194 222 224	1171176329028
SPT(16)	1285876515420388313	0 6 8 36 60 66 188 204 230 246 368 374 398 426 428 434	1226761914042
SPT(16)	1285876568362252831	0 228 280 282 298 360 370 390 508 528 538 600 616 618 670 898	1279703778560
STPT(10)	1285876733338010267	0 2 24 26 42 44 60 62 84 86	1444679535996
TPT(14)	1285877275531273757	0 2 90 92 120 122 222 224 252 254 300 302 330 332	1986872799486