Prime p₀= 1249198854873756497 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=77, k=10, 2 10 2 28 2

STPT(10)	1249197981133938917	0 2 12 14 72 74 132 134 144 146	-873739817580
TPT(14)	1249198252495573997	0 2 204 206 222 224 234 236 324 326 414 416 420 422	-602378182500
SPT(16)	1249198323223411499	0 2 30 78 110 138 162 180 182 200 224 252 284 332 360 362	-531650344998
STPT(10)	1249198508101887521	0 2 6 8 48 50 90 92 96 98	-346771868976
STPT(10)	1249198589619224987	0 2 12 14 42 44 72 74 84 86	-265254531510
STPT(10)	1249198736878619081	0 2 36 38 78 80 120 122 156 158	-117995137416
SPT(16)	1249199468293956863	0 8 14 36 48 60 78 104 120 146 164 176 188 210 216 224	613420200366
STPT(10)	1249199865538529921	0 2 30 32 78 80 126 128 156 158	1010664773424
SPT(16)	1249200096659170267	0 16 54 82 94 112 120 132 184 196 204 222 234 262 300 316	1241785413770
SPT(16)	1249200449021728183	0 10 24 30 84 96 136 166 168 198 238 250 304 310 324 334	1594147971686
STPT(12)	1249200673707596759	0 2 30 32 42 44 78 80 90 92 120 122	1818833840262