Prime p₀= 2591742378237656459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2591741525902756391	0 26 38 62 80 90 168 212 216 260 338 348 366 390 402 428	-852334900068
TPT(14)	2591741616610730279	0 2 12 14 78 80 132 134 150 152 288 290 330 332	-761626926180
STPT(10)	2591741685696283007	0 2 30 32 42 44 54 56 84 86	-692541373452
TPT(14)	2591741734354370789	0 2 78 80 90 92 102 104 168 170 240 242 270 272	-643883285670
SPT(16)	2591741878441994723	0 8 18 30 44 60 74 86 168 180 194 210 224 236 246 254	-499795661736
STPT(12)	2591741902229289779	0 2 12 14 30 32 72 74 90 92 102 104	-476008366680
STPT(10)	2591742465959999237	0 2 54 56 72 74 90 92 144 146	87722342778
STPT(10)	2591743020218290199	0 2 18 20 30 32 42 44 60 62	641980633740
STPT(10)	2591743046062773467	0 2 42 44 72 74 102 104 144 146	667825117008
SPT(16)	2591743371439099711	0 42 60 66 82 88 120 168 190 238 270 276 292 298 316 358	993201443252
SPT(16)	2591744161823625191	0 6 12 32 42 48 56 66 92 102 110 116 126 146 152 158	1783585968732