Prime p₀= 1258150677153242627 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1258149527535363121	0 16 18 58 66 126 172 190 228 246 292 352 360 400 402 418	-1149617879506
STPT(10)	1258149562983738749	0 2 18 20 30 32 42 44 60 62	-1114169503878
STPT(10)	1258149608843233229	0 2 48 50 90 92 132 134 180 182	-1068310009398
STPT(10)	1258149613806254339	0 2 42 44 60 62 78 80 120 122	-1063346988288
SPT(16)	1258150085042332913	0 14 30 44 74 114 120 168 176 224 230 270 300 314 330 344	-592110909714
STPT(10)	1258150313078179847	0 2 42 44 72 74 102 104 144 146	-364075062780
SPT(16)	1258151715723356149	0 34 54 78 90 108 148 174 238 264 304 322 334 358 378 412	1038570113522
STPT(10)	1258151766272417669	0 2 78 80 120 122 162 164 240 242	1089119175042
TPT(14)	1258151826345180467	0 2 30 32 180 182 204 206 282 284 294 296 414 416	1149191937840
SPT(16)	1258152018969802051	0 18 42 46 76 88 90 102 106 118 120 132 162 166 190 208	1341816559424
STPT(10)	1258152386857508237	0 2 30 32 42 44 54 56 84 86	1709704265610