Prime p₀= 2176154458888723589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Penguin
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2176153260350725987	0 4 22 100 112 114 130 132 172 174 190 192 204 282 300 304	-1198537997602
STPT(10)	2176153443413383529	0 2 18 20 30 32 42 44 60 62	-1015475340060
SPT(16)	2176153581109103137	0 6 42 66 72 114 124 150 226 252 262 304 310 334 370 376	-877779620452
TPT(14)	2176153589401190237	0 2 54 56 144 146 180 182 192 194 210 212 252 254	-869487533352
SPT(16)	2176153819138762153	0 4 18 36 66 70 126 130 144 148 204 208 238 256 270 274	-639749961436
SPT(16)	2176154014227809879	0 20 30 54 68 128 132 134 258 260 264 324 338 362 372 392	-444660913710
STPT(10)	2176154518009813049	0 2 42 44 60 62 78 80 120 122	59121089460
STPT(10)	2176154743220468831	0 2 6 8 18 20 30 32 36 38	284331745242
STPT(10)	2176154808041628497	0 2 30 32 72 74 114 116 144 146	349152904908
SPT(16)	2176154851176111791	0 38 56 60 66 110 126 168 170 212 228 272 278 282 300 338	392287388202
SPT(16)	2176154946360526459	0 12 54 70 72 94 144 154 198 208 258 280 282 298 340 352	487471802870