Prime p₀= 2296605573195808727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Dirk Broer
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2296602669587918863	0 6 28 58 64 66 124 136 138 150 208 210 216 246 268 274	-2903607889864
SPT(16)	2296603084686194237	0 24 30 62 104 122 132 204 260 332 342 360 402 434 440 464	-2488509614490
TPT(14)	2296603634724143159	0 2 30 32 42 44 132 134 198 200 228 230 258 260	-1938471665568
SPT(16)	2296603656492935443	0 30 34 36 40 90 120 124 150 154 184 234 238 240 244 274	-1916702873284
STPT(10)	2296604336418285071	0 2 6 8 48 50 90 92 96 98	-1236777523656
SPT(16)	2296604699466013967	0 30 84 104 170 242 252 270 284 302 312 384 450 470 524 554	-873729794760
SPT(16)	2296605587243265173	0 18 50 56 74 108 156 176 228 248 296 330 348 354 386 404	14047456446
STPT(10)	2296605801093201779	0 2 18 20 30 32 42 44 60 62	227897393052
SPT(18)	2296605918368831761	0 48 58 82 132 150 160 168 222 238 292 300 310 328 378 402 412 460	345173023034
SPT(16)	2296606116051388667	0 50 102 144 180 182 204 224 282 302 324 326 362 404 456 506	542855579940
SPT(18)	2296606292366769739	0 42 72 82 94 108 124 130 132 220 222 228 244 258 270 280 310 352	719170961012