Prime p₀= 1020238358743987709 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

TPT(14)	1020237365109264689	0 2 30 32 60 62 72 74 90 92 162 164 168 170	-993634723020
SPT(16)	1020237443343998203	0 4 64 106 150 174 190 238 276 324 340 364 408 450 510 514	-915399989506
SPT(16)	1020237538581312479	0 30 50 72 98 120 168 182 228 242 290 312 338 360 380 410	-820162675230
STPT(10)	1020237640893621077	0 2 54 56 72 74 90 92 144 146	-717850366632
SPT(16)	1020238092782748197	0 44 74 86 96 114 120 144 152 176 182 200 210 222 252 296	-265961239512
SPT(16)	1020238112003993401	0 10 18 30 88 136 142 180 238 276 282 330 388 400 408 418	-246739994308
SPT(16)	1020238857449065153	0 6 18 34 78 118 126 138 196 208 216 256 300 316 328 334	498705077444
STPT(10)	1020238915237856129	0 2 12 14 30 32 48 50 60 62	556493868420
STPT(10)	1020239200745901317	0 2 24 26 42 44 60 62 84 86	842001913608
SPT(16)	1020239291960870089	0 10 12 28 52 70 78 124 138 184 192 210 234 250 252 262	933216882380
STPT(10)	1020240653883364049	0 2 12 14 90 92 168 170 180 182	2295139376340