Prime p₀= 2163976260053129747 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2163972232629864809	0 12 14 92 102 110 152 180 224 252 294 302 312 390 392 404	-4027423264938
STPT(10)	2163972647353024757	0 2 12 14 72 74 132 134 144 146	-3612700104990
SPT(16)	2163973516729790707	0 12 30 64 76 102 112 130 156 174 184 210 222 256 274 286	-2743323339040
SPT(16)	2163975807343242617	0 6 20 72 132 170 194 212 264 282 306 344 404 456 470 476	-452709887130
SPT(16)	2163975848631632939	0 8 50 68 80 98 140 180 182 222 264 282 294 312 354 362	-411421496808
STPT(10)	2163975927997516469	0 2 12 14 90 92 168 170 180 182	-332055613278
SPT(16)	2163976361702656469	0 20 30 48 78 90 92 134 168 210 212 224 254 272 282 302	101649526722
TPT(14)	2163976652370327869	0 2 42 44 60 62 180 182 252 254 258 260 282 284	392317198122
SPT(16)	2163976762840264991	0 2 38 80 86 90 92 98 120 126 128 132 138 180 216 218	502787135244
STPT(10)	2163976902088070021	0 2 66 68 138 140 210 212 276 278	642034940274
SPT(16)	2163977167464325229	0 38 48 92 102 120 122 132 158 168 170 188 198 242 252 290	907411195482