Prime p₀= 1232854739143816931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: vinn@[CNT]
db: batch=77, k=10, 2 4 2 10 2

TPT(14)	1232853095848470827	0 2 12 14 84 86 120 122 132 134 162 164 174 176	-1643295346104
SPT(18)	1232853645729090383	0 14 48 56 60 78 84 120 126 278 284 320 326 344 348 356 390 404	-1093414726548
SPT(16)	1232853872609325073	0 18 46 66 100 136 186 196 228 238 288 324 358 378 406 424	-866534491858
SPT(16)	1232854006432895807	0 6 20 30 60 72 86 90 182 186 200 212 242 252 266 272	-732710921124
SPT(16)	1232854383573883687	0 22 36 52 60 66 102 112 144 154 190 196 204 220 234 256	-355569933244
SPT(16)	1232854599468818699	0 14 18 50 60 62 98 162 170 234 270 272 282 314 318 332	-139674998232
STPT(10)	1232854900159253981	0 2 36 38 78 80 120 122 156 158	161015437050
STPT(10)	1232855592591839969	0 2 18 20 30 32 42 44 60 62	853448023038
STPT(10)	1232855794060042949	0 2 18 20 30 32 42 44 60 62	1054916226018
SPT(16)	1232855824411038197	0 12 42 62 66 80 140 152 210 222 282 296 300 320 350 362	1085267221266
SPT(16)	1232855880787069871	0 30 50 72 80 96 122 156 176 210 236 252 260 282 302 332	1141643252940