Prime p₀= 2012812305829338887 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=80, k=10, 2 28 2 10 2

SPT(16)	2012811562906627673	0 38 50 68 80 120 198 204 380 386 464 504 516 534 546 584	-742922711214
STPT(10)	2012811592635741761	0 2 78 80 108 110 138 140 216 218	-713193597126
SPT(16)	2012811815800889449	0 12 22 58 78 82 142 192 250 300 360 364 384 420 430 442	-490028449438
TPT(14)	2012811821948609237	0 2 12 14 84 86 90 92 174 176 180 182 204 206	-483880729650
SPT(16)	2012811887810813093	0 30 36 68 104 134 146 156 158 168 180 210 246 278 284 314	-418018525794
SPT(16)	2012812257898093807	0 12 30 46 52 72 82 136 156 210 220 240 246 262 280 292	-47931245080
STPT(10)	2012812414781679479	0 2 12 14 90 92 168 170 180 182	108952340592
SPT(16)	2012812693167203981	0 18 30 36 78 110 128 140 198 210 228 260 302 308 320 338	387337865094
TPT(14)	2012813043965156429	0 2 12 14 78 80 192 194 252 254 258 260 360 362	738135817542
SPT(16)	2012813745537653573	0 6 14 54 86 98 110 126 188 204 216 228 260 300 308 314	1439708314686
SPT(16)	2012814663166961957	0 20 50 66 120 132 140 150 242 252 260 272 326 342 372 392	2357337623070