Prime p₀= 2428544421111109757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Penguin
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2428543167953627899	0 30 52 84 94 114 150 160 174 184 220 240 250 282 304 334	-1253157481858
SPT(16)	2428543305473084207	0 6 14 20 24 44 66 144 146 224 246 266 270 276 284 290	-1115638025550
SPT(16)	2428543758057170657	0 36 72 80 122 140 222 260 282 320 402 420 462 470 506 542	-663053939100
SPT(16)	2428543958140013359	0 10 28 52 90 154 214 294 328 408 468 532 570 594 612 622	-462971096398
SPT(16)	2428544022819349927	0 4 34 42 64 84 112 142 174 204 232 252 274 282 312 316	-398291759830
SPT(16)	2428544407230243877	0 4 22 42 54 60 82 144 190 252 274 280 292 312 330 334	-13880865880
SPT(16)	2428544515729639309	0 48 70 72 132 172 192 228 244 280 300 340 400 402 424 472	94618529552
TPT(14)	2428544519749558337	0 2 12 14 30 32 150 152 210 212 240 242 252 254	98638448580
STPT(10)	2428544558476905227	0 2 72 74 102 104 132 134 204 206	137365795470
STPT(10)	2428545413874991379	0 2 12 14 90 92 168 170 180 182	992763881622
SPT(16)	2428545432232298987	0 56 66 102 170 186 210 222 254 266 290 306 374 410 420 476	1011121189230