Prime p₀= 2394556992438661049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2394555773204824499	0 2 32 44 50 54 78 134 138 194 218 222 228 240 270 272	-1219233836550
SPT(16)	2394555976888686367	0 16 30 64 66 96 100 106 144 150 154 184 186 220 234 250	-1015549974682
TPT(14)	2394556138778322989	0 2 42 44 150 152 240 242 288 290 528 530 588 590	-853660338060
SPT(16)	2394556893032991481	0 12 58 60 78 112 120 126 142 148 156 190 208 210 256 268	-99405669568
STPT(10)	2394556913657699801	0 2 36 38 108 110 180 182 216 218	-78780961248
SPT(16)	2394556990865950811	0 26 182 206 222 272 290 336 416 462 480 530 546 570 726 752	-1572710238
SPT(16)	2394557357878864697	0 32 56 72 134 164 186 204 242 260 282 312 374 390 414 446	365440203648
TPT(14)	2394557577569305661	0 2 30 32 36 38 126 128 168 170 210 212 216 218	585130644612
STPT(10)	2394557607049072217	0 2 30 32 42 44 54 56 84 86	614610411168
SPT(16)	2394557956480311191	0 30 38 66 108 126 138 168 320 350 362 380 422 450 458 488	964041650142
STPT(12)	2394558034194231047	0 2 30 32 42 44 60 62 72 74 102 104	1041755569998