Prime p₀= 2118433679476712567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2118432388797018139	0 42 52 70 84 94 108 160 192 244 258 268 282 300 310 352	-1290679694428
STPT(10)	2118432397919854967	0 2 30 32 42 44 54 56 84 86	-1281556857600
SPT(16)	2118432765991275563	0 14 20 30 68 96 170 224 300 354 428 456 494 504 510 524	-913485437004
TPT(14)	2118433211861211437	0 2 24 26 150 152 174 176 252 254 294 296 462 464	-467615501130
SPT(16)	2118433298961675967	0 6 12 42 64 66 82 96 190 204 220 222 244 274 280 286	-380515036600
SPT(16)	2118433599317710813	0 10 40 90 124 136 196 208 216 228 288 300 334 384 414 424	-80159001754
STPT(10)	2118433802839050209	0 2 42 44 60 62 78 80 120 122	123362337642
SPT(16)	2118433836672181957	0 66 90 96 154 166 186 196 234 244 264 276 334 340 364 430	157195469390
SPT(16)	2118433849765088189	0 20 54 60 74 80 90 102 140 152 162 168 182 188 222 242	170288375622
STPT(10)	2118434078004145019	0 2 18 20 30 32 42 44 60 62	398527432452
STPT(10)	2118434101243539419	0 2 18 20 30 32 42 44 60 62	421766826852