Prime p₀= 2523254541144404057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2523253138337443847	0 2 30 60 86 96 126 140 186 200 230 240 266 296 324 326	-1402806960210
SPT(16)	2523253206336838879	0 4 30 72 82 114 168 192 310 334 388 420 430 472 498 502	-1334807565178
SPT(16)	2523253973378259593	0 38 80 104 108 120 138 170 174 206 224 236 240 264 306 344	-567766144464
SPT(13)	2523254289845323901	0 18 48 72 102 132 150 168 198 228 252 282 300	-251299080156
SPT(16)	2523254360722769939	0 2 12 62 80 104 182 192 212 222 300 324 342 392 402 404	-180421634118
STPT(10)	2523254414208125327	0 2 30 32 72 74 114 116 144 146	-126936278730
SPT(16)	2523254589302770207	0 10 16 42 114 126 136 174 262 300 310 322 394 420 426 436	48158366150
TPT(14)	2523254694201999839	0 2 12 14 72 74 168 170 198 200 228 230 252 254	153057595782
TPT(14)	2523254744308132361	0 2 36 38 60 62 90 92 126 128 156 158 198 200	203163728304
STPT(10)	2523255261925057727	0 2 12 14 42 44 72 74 84 86	720780653670
TPT(14)	2523255910732826849	0 2 108 110 138 140 222 224 228 230 240 242 282 284	1369588422792