Prime p₀= 2524100100424017527 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: Roadranner
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2524099137759585557	0 2 42 44 54 56 84 86 90 92 150 152 174 176	-962664431970
STPT(10)	2524099290768283727	0 2 42 44 72 74 102 104 144 146	-809655733800
SPT(16)	2524099573588397353	0 30 58 64 66 84 106 136 168 198 220 238 240 246 274 304	-526835620174
SPT(16)	2524099610525665741	0 30 48 70 106 126 148 196 330 378 400 420 456 478 496 526	-489898351786
SPT(16)	2524099883682963863	0 6 14 26 36 60 78 96 98 116 134 158 168 180 188 194	-216741053664
SPT(16)	2524099944634444067	0 2 14 36 84 90 126 204 302 380 416 422 470 492 504 506	-155789573460
SPT(16)	2524100341273049317	0 10 36 60 76 94 172 190 216 234 312 330 346 370 396 406	240849031790
SPT(16)	2524100387785131997	0 6 46 64 142 190 226 240 286 300 336 384 462 480 520 526	287361114470
STPT(10)	2524100520629918309	0 2 48 50 60 62 72 74 120 122	420205900782
STPT(10)	2524101390631965491	0 2 6 8 48 50 90 92 96 98	1290207947964
SPT(20)	2524101723944078351	0 12 38 42 66 68 78 128 188 198 230 240 300 350 360 362 386 390 416 428	1623520060824