Prime p₀= 2353846694901907781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2353844913754731679	0 22 60 64 88 102 118 144 178 204 220 234 258 262 300 322	-1781147176102
TPT(14)	2353845492056029451	0 2 18 20 60 62 96 98 126 128 186 188 198 200	-1202845878330
STPT(10)	2353845641445278567	0 2 30 32 72 74 114 116 144 146	-1053456629214
SPT(16)	2353845909351773611	0 48 66 90 168 178 180 220 246 286 288 298 376 400 418 466	-785550134170
STPT(10)	2353846313356390997	0 2 42 44 72 74 102 104 144 146	-381545516784
SPT(16)	2353846320990065263	0 40 76 108 124 138 154 160 264 270 286 300 316 348 384 424	-373911842518
STPT(10)	2353847096106012047	0 2 30 32 72 74 114 116 144 146	401204104266
STPT(10)	2353847259770870177	0 2 12 14 42 44 72 74 84 86	564868962396
TPT(14)	2353847393065518611	0 2 30 32 48 50 120 122 216 218 330 332 420 422	698163610830
SPT(16)	2353847409216490063	0 28 78 88 94 144 148 160 204 216 220 270 276 286 336 364	714314582282
SPT(16)	2353847484742148267	0 20 104 116 120 176 230 264 272 306 360 416 420 432 516 536	789840240486