Prime p₀= 1304295171632537141 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: Theadalus
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1304293765305466037	0 14 44 56 110 180 204 254 306 356 380 450 504 516 546 560	-1406327071104
SPT(16)	1304294319102924131	0 8 38 42 48 50 66 72 146 152 168 170 176 180 210 218	-852529613010
SPT(18)	1304294371091789377	0 40 54 60 66 72 94 126 192 214 280 312 334 340 346 352 366 406	-800540747764
STPT(10)	1304294884834870931	0 2 36 38 78 80 120 122 156 158	-286797666210
SPT(16)	1304295066607472111	0 6 78 90 98 110 170 198 200 228 288 300 308 320 392 398	-105025065030
SPT(16)	1304295127217602673	0 6 20 30 54 60 66 84 86 104 110 116 140 150 164 170	-44414934468
STPT(10)	1304295257509287851	0 2 66 68 108 110 150 152 216 218	85876750710
SPT(16)	1304295287008965241	0 18 40 60 78 100 126 138 190 202 228 250 268 288 310 328	115376428100
STPT(10)	1304295294005908679	0 2 168 170 180 182 192 194 360 362	122373371538
SPT(16)	1304295397623436951	0 6 22 36 78 118 160 192 256 288 330 370 412 426 442 448	225990899810
STPT(10)	1304295799226111357	0 2 12 14 42 44 72 74 84 86	627593574216