Prime p₀= 1231458218126651267 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

TPT(14)	1231456578217405907	0 2 12 14 90 92 222 224 234 236 252 254 300 302	-1639909245360
STPT(10)	1231456854100168877	0 2 30 32 42 44 54 56 84 86	-1364026482390
STPT(10)	1231456979474920577	0 2 30 32 42 44 54 56 84 86	-1238651730690
STPT(10)	1231457091767628497	0 2 30 32 72 74 114 116 144 146	-1126359022770
SPT(16)	1231457153174616661	0 16 28 40 46 102 126 138 160 172 196 252 258 270 282 298	-1064952034606
SPT(16)	1231457506475003789	0 2 42 50 60 72 78 98 204 224 230 242 252 260 300 302	-711651647478
SPT(16)	1231458800179741843	0 36 84 90 120 136 166 216 238 288 318 334 364 370 418 454	582053090576
SPT(16)	1231459937265932887	0 16 30 34 36 66 76 94 126 144 154 184 186 190 204 220	1719139281620
TPT(16)	1231459969054235021	0 2 6 8 48 50 90 92 96 98 138 140 246 248 258 260	1750927583754
STPT(10)	1231459969054235021	0 2 6 8 48 50 90 92 96 98	1750927583754
SPT(16)	1231460409655117211	0 12 36 38 66 72 96 98 120 122 146 152 180 182 206 218	2191528465944