Prime p₀= 1233751712702815637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: mikey
db: batch=77, k=10, 2 58 2 40 2

STPT(10)	1233751003573059467	0 2 60 62 72 74 84 86 144 146	-709129756170
SPT(18)	1233751072509494239	0 12 42 54 60 72 84 100 120 172 192 208 220 232 238 250 280 292	-640193321398
SPT(16)	1233751089248198167	0 22 34 36 96 124 132 142 174 184 192 220 280 282 294 316	-623454617470
SPT(16)	1233751304729822561	0 2 20 30 62 96 138 152 156 170 212 246 278 288 306 308	-407972993076
SPT(16)	1233751631193451729	0 58 72 90 112 118 142 168 184 210 234 240 262 280 294 352	-81509363908
SPT(16)	1233751662936995221	0 6 40 52 60 66 90 118 180 208 232 238 246 258 292 298	-49765820416
STPT(10)	1233751721026342547	0 2 12 14 42 44 72 74 84 86	8323526910
STPT(10)	1233752023996028321	0 2 36 38 78 80 120 122 156 158	311293212684
TPT(14)	1233752060130468647	0 2 150 152 234 236 240 242 270 272 312 314 354 356	347427653010
SPT(16)	1233752091153703559	0 20 32 48 62 74 102 104 168 170 198 210 224 240 252 272	378450887922
TPT(14)	1233752418394357427	0 2 24 26 42 44 102 104 150 152 210 212 222 224	705691541790