Prime p₀= 2561547705825357827 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2561545744330164953	0 8 50 86 96 104 114 170 264 320 330 338 348 384 426 434	-1961495192874
STPT(10)	2561545973030877797	0 2 30 32 42 44 54 56 84 86	-1732794480030
SPT(16)	2561546095317529703	0 54 66 108 126 138 140 164 180 204 206 218 236 278 290 344	-1610507828124
TPT(14)	2561546277815786927	0 2 12 14 24 26 42 44 120 122 180 182 282 284	-1428009570900
SPT(16)	2561546996263341391	0 6 16 18 28 30 42 48 100 106 118 120 130 132 142 148	-709562016436
SPT(16)	2561547204355207511	0 6 32 48 50 78 120 126 182 188 230 258 260 276 302 308	-501470150316
SPT(16)	2561547897266504557	0 6 22 34 60 94 124 126 130 132 162 196 222 234 250 256	191441146730
SPT(16)	2561548061151271133	0 18 78 140 144 174 186 194 210 218 230 260 264 326 386 404	355325913306
SPT(16)	2561548262391631517	0 26 32 36 50 54 92 120 236 264 302 306 320 324 330 356	556566273690
SPT(16)	2561548409381211493	0 18 24 34 36 40 60 78 136 154 174 178 180 190 196 214	703555853666
STPT(10)	2561548466179565207	0 2 42 44 72 74 102 104 144 146	760354207380