Prime p₀= 813767304584073797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: matali
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	813765870946880237	0 14 50 66 72 96 162 180 236 254 320 344 350 366 402 416	-1433637193560
SPT(16)	813765886805520743	0 6 50 78 84 134 146 164 180 198 210 260 266 294 338 344	-1417778553054
SPT(16)	813765981850333313	0 36 44 54 96 116 138 140 174 176 198 218 260 270 278 314	-1322733740484
STPT(10)	813766269812554319	0 2 18 20 30 32 42 44 60 62	-1034771519478
STPT(10)	813766309956184589	0 2 42 44 90 92 138 140 180 182	-994627889208
TPT(14)	813766800344410907	0 2 54 56 120 122 192 194 222 224 282 284 450 452	-504239662890
SPT(16)	813768087389159129	0 2 12 90 104 152 192 194 210 212 252 300 314 392 402 404	782805085332
STPT(10)	813768153386591327	0 2 12 14 42 44 72 74 84 86	848802517530
SPT(16)	813768312687706331	0 42 50 68 72 102 146 180 218 252 296 326 330 348 356 398	1008103632534
STPT(10)	813768940939063139	0 2 30 32 60 62 90 92 120 122	1636354989342
SPT(16)	813769041170185657	0 30 42 60 90 100 124 126 160 162 186 196 226 244 256 286	1736586111860