Prime p₀= 1013568710212322021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: stoneageman
db: batch=76, k=10, 2 4 2 10 2

STPT(10)	1013567946266076557	0 2 30 32 72 74 114 116 144 146	-763946245464
STPT(10)	1013568120628246331	0 2 36 38 78 80 120 122 156 158	-589584075690
SPT(16)	1013568468573437027	0 6 14 30 62 116 132 150 206 224 240 294 326 342 350 356	-241638884994
SPT(16)	1013568580377386879	0 42 72 152 158 170 264 294 308 338 432 444 450 530 560 602	-129834935142
SPT(16)	1013568668005311763	0 10 48 118 148 174 190 196 198 204 220 246 276 346 384 394	-42207010258
STPT(10)	1013568701939990627	0 2 30 32 72 74 114 116 144 146	-8272331394
STPT(10)	1013568733870061219	0 2 42 44 90 92 138 140 180 182	23657739198
SPT(16)	1013568741252831817	0 6 36 40 84 106 132 160 336 364 390 412 456 460 490 496	31040509796
STPT(10)	1013569059312233519	0 2 18 20 30 32 42 44 60 62	349099911498
SPT(16)	1013569743562003057	0 22 66 84 106 114 136 160 276 300 322 330 352 370 414 436	1033349681036
STPT(10)	1013569745858104397	0 2 30 32 42 44 54 56 84 86	1035645782376