Prime p₀= 2504159119900972277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2504156066306211029	0 12 72 110 138 150 182 198 224 240 272 284 312 350 410 422	-3053594761248
SPT(16)	2504156147339228651	0 12 26 62 68 86 98 128 150 180 192 210 216 252 266 278	-2972561743626
SPT(16)	2504157045069918383	0 8 18 38 60 90 126 138 188 200 236 266 288 308 318 326	-2074831053894
SPT(16)	2504157117911106547	0 4 64 102 112 114 156 184 192 220 262 264 274 312 372 376	-2001989865730
SPT(16)	2504157629439254903	0 8 20 36 44 90 116 158 186 228 254 300 308 324 336 344	-1490461717374
STPT(10)	2504158896814402151	0 2 30 32 78 80 126 128 156 158	-223086570126
STPT(10)	2504159293862069027	0 2 30 32 60 62 90 92 120 122	173961096750
SPT(16)	2504159630363072587	0 10 16 100 120 154 180 202 324 346 372 406 426 510 516 526	510462100310
STPT(10)	2504160522037912019	0 2 18 20 60 62 102 104 120 122	1402136939742
STPT(10)	2504160973434339221	0 2 36 38 78 80 120 122 156 158	1853533366944
STPT(12)	2504161033204011161	0 2 120 122 168 170 198 200 246 248 366 368	1913303038884