Prime p₀= 4305558233668813151 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Chooka
db: batch=85, k=10, 2 28 2 28 2

SPT(16)	4305557068090361873	0 6 20 44 54 56 66 74 96 104 114 116 126 150 164 170	-1165578451278
SPT(16)	4305557106415787617	0 6 10 16 54 66 72 114 202 244 250 262 300 306 310 316	-1127253025534
TPT(14)	4305557330839587059	0 2 12 14 72 74 150 152 198 200 210 212 222 224	-902829226092
SPT(16)	4305557541450969227	0 2 20 86 110 182 344 366 410 432 594 666 690 756 774 776	-692217843924
SPT(16)	4305557551379372117	0 44 74 84 90 92 104 156 200 252 264 266 272 282 312 356	-682289441034
SPT(16)	4305557704756104523	0 24 34 48 60 130 156 184 210 238 264 334 346 360 370 394	-528912708628
SPT(16)	4305558299978973451	0 12 16 52 60 66 88 100 108 120 142 148 156 192 196 208	66310160300
STPT(10)	4305558330781613027	0 2 90 92 132 134 174 176 264 266	97112799876
TPT(14)	4305558438098980091	0 2 30 32 66 68 96 98 108 110 126 128 168 170	204430166940
STPT(10)	4305558633347305091	0 2 6 8 18 20 30 32 36 38	399678491940
SPT(16)	4305559303260319801	0 22 78 82 120 138 190 222 256 288 340 358 396 400 456 478	1069591506650