Prime p₀= 1089948123378123857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1089947051368436017	0 40 54 60 64 66 100 120 130 150 184 186 190 196 210 250	-1072009687840
STPT(10)	1089947917635366701	0 2 6 8 18 20 30 32 36 38	-205742757156
SPT(16)	1089947987211653509	0 4 10 30 34 78 120 130 132 142 184 228 232 252 258 262	-136166470348
STPT(10)	1089948045303625769	0 2 48 50 60 62 72 74 120 122	-78074498088
SPT(16)	1089948106794702577	0 10 36 70 94 100 112 120 136 144 156 162 186 220 246 256	-16583421280
STPT(10)	1089948114689190467	0 2 60 62 72 74 84 86 144 146	-8688933390
SPT(16)	1089948529692180359	0 24 42 68 102 152 164 180 362 378 390 440 474 500 518 542	406314056502
SPT(16)	1089948854847502367	0 44 102 132 156 170 182 186 200 204 216 230 254 284 342 386	731469378510
TPT(14)	1089949298307033401	0 2 18 20 30 32 156 158 198 200 210 212 306 308	1174928909544
STPT(10)	1089949832837932271	0 2 6 8 18 20 30 32 36 38	1709459808414
SPT(16)	1089949970841947557	0 4 70 72 82 132 136 156 280 300 304 354 364 366 432 436	1847463823700