Prime p₀= 1586005153387508639 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: Icecold
db: batch=78, k=10, 2 28 2 28 2

STPT(10)	1586003338633041467	0 2 12 14 42 44 72 74 84 86	-1814754467172
TPT(14)	1586003368699789967	0 2 72 74 114 116 222 224 300 302 312 314 342 344	-1784687718672
STPT(10)	1586004077674983467	0 2 54 56 72 74 90 92 144 146	-1075712525172
SPT(16)	1586004281953371191	0 20 30 36 42 66 192 216 242 266 392 416 422 428 438 458	-871434137448
STPT(10)	1586004845624325911	0 2 36 38 78 80 120 122 156 158	-307763182728
SPT(16)	1586004845815919413	0 70 84 96 106 114 124 148 216 240 250 258 268 280 294 364	-307571589226
TPT(14)	1586005343469460799	0 2 12 14 18 20 72 74 138 140 198 200 210 212	190081952160
TPT(14)	1586005777341492509	0 2 30 32 78 80 90 92 132 134 198 200 252 254	623953983870
SPT(18)	1586005887262392209	0 8 32 48 92 144 210 242 278 294 330 362 428 480 524 540 564 572	733874883570
SPT(16)	1586006254896569083	0 30 64 78 88 106 118 120 154 156 168 186 196 210 244 274	1101509060444
SPT(16)	1586006543711917903	0 58 66 90 136 154 184 186 268 270 300 318 364 388 396 454	1390324409264