Prime p₀= 2004223768966244237 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: arkiss
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2004221787355974479	0 18 54 68 98 108 140 194 198 252 284 294 324 338 374 392	-1981610269758
SPT(16)	2004221863745157047	0 56 80 90 96 120 132 162 194 224 236 260 266 276 300 356	-1905221087190
SPT(16)	2004221972768909389	0 12 18 30 60 84 112 118 264 270 298 322 352 364 370 382	-1796197334848
SPT(16)	2004222620720387107	0 36 76 120 124 166 186 216 244 274 294 336 340 384 424 460	-1148245857130
SPT(16)	2004222811276865717	0 2 42 72 74 80 114 116 150 152 186 192 194 224 264 266	-957689378520
STPT(10)	2004222952617816737	0 2 42 44 72 74 102 104 144 146	-816348427500
STPT(10)	2004224144646637007	0 2 42 44 132 134 222 224 264 266	375680392770
SPT(16)	2004224490035867243	0 14 36 44 78 104 126 134 210 218 240 266 300 308 330 344	721069623006
STPT(10)	2004224494850285759	0 2 18 20 30 32 42 44 60 62	725884041522
STPT(10)	2004224808367324967	0 2 12 14 72 74 132 134 144 146	1039401080730
SPT(16)	2004225069232730251	0 22 48 66 76 118 130 136 162 168 180 222 232 250 276 298	1300266486014