Prime p₀= 2004122855653107557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: Dingo
db: batch=80, k=10, 2 10 2 118 2

SPT(16)	2004119907129360599	0 54 60 80 90 122 218 222 230 234 330 362 372 392 398 452	-2948523746958
SPT(16)	2004120124278657977	0 30 60 96 170 186 246 252 254 260 320 336 410 446 476 506	-2731374449580
TPT(14)	2004120523235306051	0 2 6 8 78 80 90 92 120 122 186 188 210 212	-2332417801506
TPT(14)	2004120909848522219	0 2 18 20 42 44 138 140 210 212 228 230 240 242	-1945804585338
SPT(16)	2004122300010275681	0 26 36 42 78 80 122 150 218 246 288 290 326 332 342 368	-555642831876
TPT(14)	2004122482615437407	0 2 42 44 54 56 144 146 234 236 252 254 312 314	-373037670150
STPT(10)	2004123053433309629	0 2 18 20 30 32 42 44 60 62	197780202072
SPT(16)	2004123233237924849	0 8 12 78 84 98 110 168 194 252 264 278 284 350 354 362	377584817292
SPT(16)	2004123686374078933	0 16 46 48 70 76 96 118 138 160 180 186 208 210 240 256	830720971376
STPT(10)	2004123936429922631	0 2 36 38 78 80 120 122 156 158	1080776815074
SPT(16)	2004124562324657419	0 22 52 78 108 192 264 304 318 358 430 514 544 570 600 622	1706671549862