Prime p₀= 1146350568655729427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Theadalus
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	1146349464135664543	0 28 46 54 130 154 160 196 198 234 240 264 340 348 366 394	-1104520064884
SPT(16)	1146349643692935811	0 10 30 42 70 72 76 82 126 132 136 138 166 178 198 208	-924962793616
TPT(14)	1146350328568850681	0 2 6 8 66 68 90 92 168 170 276 278 306 308	-240086878746
STPT(10)	1146350379774575159	0 2 18 20 30 32 42 44 60 62	-188881154268
STPT(10)	1146350449848272489	0 2 42 44 60 62 78 80 120 122	-118807456938
STPT(10)	1146350450416969979	0 2 18 20 30 32 42 44 60 62	-118238759448
SPT(16)	1146350592290431459	0 22 64 72 130 270 280 294 340 354 364 504 562 570 612 634	23634702032
SPT(16)	1146350707481560913	0 14 50 78 164 168 170 204 254 288 290 294 380 408 444 458	138825831486
SPT(16)	1146350729634376291	0 16 18 22 36 42 60 70 78 88 106 112 126 130 132 148	160978646864
STPT(10)	1146350892085531799	0 2 18 20 30 32 42 44 60 62	323429802372
SPT(16)	1146350916863658323	0 24 26 54 60 96 126 168 266 308 338 374 380 408 410 434	348207928896