Prime p₀= 1556690242642173971 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 94 2 40 2 40 2 94 2 (?)
a_n: 0 2 96 98 138 140 180 182 276 278
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: 278
Found by: crashtech
db: batch=78, k=10, 2 94 2 40 2

STPT(10)	1556689572686396969	0 2 42 44 60 62 78 80 120 122	-669955777002
SPT(16)	1556689775415450821	0 26 48 66 80 90 96 182 186 272 278 288 302 320 342 368	-467226723150
STPT(10)	1556689834772725517	0 2 12 14 72 74 132 134 144 146	-407869448454
SPT(16)	1556689985316532513	0 16 18 24 28 58 66 84 100 118 126 156 160 166 168 184	-257325641458
STPT(10)	1556690062577914079	0 2 12 14 90 92 168 170 180 182	-180064259892
SPT(16)	1556690111718664073	0 20 48 74 78 116 128 156 158 186 198 236 240 266 294 314	-130923509898
SPT(16)	1556690383118983999	0 64 90 130 150 160 168 174 208 214 222 232 252 292 318 382	140476810028
STPT(10)	1556690995336993301	0 2 30 32 60 62 90 92 120 122	752694819330
SPT(20)	1556691065834311709	0 18 42 44 54 60 68 84 92 102 110 120 128 144 152 158 168 170 194 212	823192137738
SPT(16)	1556691180070722341	0 32 42 72 132 150 156 192 266 302 308 326 386 416 426 458	937428548370
SPT(16)	1556691268265102867	0 2 6 32 66 120 156 162 170 176 212 266 300 326 330 332	1025622928896