Prime p₀= 1172829193258364417 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: Icecold
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1172828007387709877	0 2 12 14 42 44 72 74 84 86	-1185870654540
STPT(10)	1172828494879273259	0 2 18 20 30 32 42 44 60 62	-698379091158
SPT(16)	1172828587599159509	0 2 44 50 62 72 78 120 152 194 200 210 222 228 270 272	-605659204908
STPT(10)	1172828651457438761	0 2 30 32 78 80 126 128 156 158	-541800925656
SPT(16)	1172828690001797707	0 6 22 40 72 90 102 130 156 184 196 214 246 264 280 286	-503256566710
STPT(10)	1172828747291776877	0 2 30 32 42 44 54 56 84 86	-445966587540
SPT(16)	1172829250075938781	0 40 42 58 88 106 138 156 172 190 222 240 270 286 288 328	56817574364
SPT(16)	1172829368791125649	0 10 42 70 102 132 172 174 400 402 442 472 504 532 564 574	175532761232
SPT(16)	1172829702514416769	0 4 42 58 60 72 78 88 144 154 160 172 174 190 228 232	509256052352
SPT(16)	1172830317626585669	0 20 42 62 128 132 140 228 242 330 338 342 408 428 450 470	1124368221252
SPT(13)	1172830432352919257	0 36 60 66 120 186 240 294 360 414 420 444 480	1239094554840