Prime p₀= 1232972097485433059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1232970962984786257	0 12 40 64 96 114 124 166 180 222 232 250 282 306 334 346	-1134500646802
SPT(16)	1232971325491129943	0 38 60 104 116 140 186 200 234 248 294 318 330 374 396 434	-771994303116
SPT(16)	1232971684774056841	0 18 52 60 66 78 118 126 172 180 220 232 238 246 280 298	-412711376218
STPT(10)	1232971949870739941	0 2 36 38 78 80 120 122 156 158	-147614693118
SPT(16)	1232971960527293911	0 58 78 148 168 190 256 288 400 432 498 520 540 610 630 688	-136958139148
SPT(16)	1232972045339286313	0 6 24 64 154 190 204 208 216 220 234 270 360 400 418 424	-52146146746
TPT(14)	1232972254713187991	0 2 6 8 90 92 120 122 156 158 198 200 210 212	157227754932
SPT(16)	1232972808145206967	0 12 40 42 76 100 124 180 196 252 276 300 334 336 364 376	710659773908
SPT(16)	1232972816688542627	0 14 20 24 54 80 150 164 246 260 330 356 386 390 396 410	719203109568
STPT(10)	1232972865524153597	0 2 30 32 42 44 54 56 84 86	768038720538
TPT(14)	1232972996359013759	0 2 78 80 120 122 150 152 192 194 222 224 288 290	898873580700