Prime p₀= 2709117601674522677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: JayPi
db: batch=82, k=10, 2 58 2 10 2

TPT(14)	2709116593956055691	0 2 36 38 78 80 126 128 246 248 336 338 378 380	-1007718466986
SPT(16)	2709116726921882113	0 18 36 64 106 114 144 184 210 250 280 288 330 358 376 394	-874752640564
SPT(16)	2709117091393517473	0 36 48 70 100 106 118 120 166 168 180 186 216 238 250 286	-510281005204
STPT(10)	2709117207270771497	0 2 30 32 72 74 114 116 144 146	-394403751180
STPT(10)	2709117465463226171	0 2 6 8 48 50 90 92 96 98	-136211296506
STPT(10)	2709117544863164759	0 2 18 20 30 32 42 44 60 62	-56811357918
SPT(16)	2709119363632004503	0 24 64 108 124 154 168 190 234 256 270 300 316 360 400 424	1761957481826
SPT(16)	2709119467743117823	0 10 18 34 58 84 88 106 198 216 220 246 270 286 294 304	1866068595146
STPT(10)	2709119499122991959	0 2 12 14 90 92 168 170 180 182	1897448469282
STPT(10)	2709119519575173707	0 2 30 32 60 62 90 92 120 122	1917900651030
SPT(16)	2709119521333373507	0 24 30 42 60 62 72 90 116 134 144 146 164 176 182 206	1919658850830