Prime p₀= 4062972771366827387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [AF] Kalianthys
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	4062970102145434607	0 14 24 80 110 140 150 164 180 194 204 234 264 320 330 344	-2669221392780
STPT(10)	4062970222331639117	0 2 42 44 72 74 102 104 144 146	-2549035188270
SPT(16)	4062970332348966733	0 4 48 58 90 106 118 120 154 156 168 184 216 226 270 274	-2439017860654
SPT(16)	4062970967438955811	0 22 78 106 126 226 228 232 276 280 282 382 402 430 486 508	-1803927871576
STPT(10)	4062971044198743371	0 2 36 38 78 80 120 122 156 158	-1727168084016
STPT(10)	4062971786634857219	0 2 12 14 30 32 48 50 60 62	-984731970168
STPT(10)	4062973719519257861	0 2 36 38 108 110 180 182 216 218	948152430474
SPT(16)	4062974754456216493	0 66 76 160 166 198 258 268 318 328 388 420 426 510 520 586	1983089389106
SPT(16)	4062975054427471771	0 70 138 198 222 240 312 318 352 358 430 448 472 532 600 670	2283060644384
STPT(10)	4062975088331240441	0 2 6 8 48 50 90 92 96 98	2316964413054
SPT(16)	4062975394706566981	0 30 42 96 112 142 156 166 186 196 210 240 256 310 322 352	2623339739594