Prime p₀= 1004954989440681449 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: hase
db: batch=76, k=10, 2 16 2 10 2

TPT(14)	1004953503427202669	0 2 30 32 72 74 132 134 138 140 222 224 228 230	-1486013478780
STPT(12)	1004953617521927849	0 2 12 14 18 20 222 224 228 230 240 242	-1371918753600
SPT(16)	1004953627776767183	0 26 30 48 86 98 126 140 144 158 186 198 236 254 258 284	-1361663914266
SPT(16)	1004954557816673701	0 6 28 30 66 70 72 132 136 196 198 202 238 240 262 268	-431624007748
SPT(16)	1004954684724415301	0 2 42 48 50 78 90 120 128 158 170 198 200 206 246 248	-304716266148
STPT(10)	1004954684844352157	0 2 24 26 42 44 60 62 84 86	-304596329292
SPT(16)	1004954995996892879	0 50 54 72 120 134 138 158 204 224 228 242 290 308 312 362	6556211430
SPT(16)	1004955064380985373	0 14 36 56 78 80 110 144 200 234 264 266 288 308 330 344	74940303924
STPT(10)	1004955161613073439	0 2 18 20 30 32 42 44 60 62	172172391990
SPT(16)	1004955186653273281	0 28 72 82 90 118 130 150 160 180 192 220 228 238 282 310	197212591832
STPT(10)	1004955235016250569	0 2 18 20 60 62 102 104 120 122	245575569120