Prime p₀= 2972573572501016567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 28 2 40 2

STPT(10)	2972572179952396961	0 2 30 32 60 62 90 92 120 122	-1392548619606
SPT(16)	2972572282824000221	0 8 18 30 32 56 60 78 80 98 102 126 128 140 150 158	-1289677016346
SPT(16)	2972572978810917437	0 26 42 54 72 74 134 170 186 222 282 284 302 314 330 356	-593690099130
SPT(16)	2972572989080682571	0 28 70 136 150 166 216 246 250 280 330 346 360 426 468 496	-583420333996
STPT(10)	2972573146326526109	0 2 12 14 90 92 168 170 180 182	-426174490458
TPT(14)	2972573164341538367	0 2 24 26 30 32 84 86 150 152 234 236 330 332	-408159478200
SPT(16)	2972573579328757277	0 12 32 56 74 80 96 102 104 110 126 132 150 174 194 206	6827740710
STPT(10)	2972573641012952321	0 2 36 38 78 80 120 122 156 158	68511935754
STPT(10)	2972573964545266691	0 2 36 38 78 80 120 122 156 158	392044250124
SPT(16)	2972574354792643217	0 12 36 42 56 74 110 114 122 126 162 180 194 200 224 236	782291626650
TPT(14)	2972575010909898377	0 2 60 62 90 92 282 284 300 302 384 386 450 452	1438408881810