Prime p₀= 1257801819089346077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: mikey
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1257800935591333841	0 2 36 38 78 80 120 122 156 158	-883498012236
STPT(10)	1257800943710229167	0 2 30 32 42 44 54 56 84 86	-875379116910
SPT(16)	1257801183577777691	0 66 72 86 90 98 132 158 240 266 300 308 312 326 332 398	-635511568386
STPT(10)	1257801224366911979	0 2 18 20 30 32 42 44 60 62	-594722434098
SPT(16)	1257801357791973941	0 20 78 86 116 150 156 168 248 260 266 300 330 338 396 416	-461297372136
SPT(16)	1257801722955146693	0 60 86 98 104 120 156 168 176 188 224 240 246 258 284 344	-96134199384
STPT(10)	1257801907934182319	0 2 18 20 60 62 102 104 120 122	88844836242
STPT(10)	1257801973764298559	0 2 42 44 60 62 78 80 120 122	154674952482
SPT(16)	1257802461630498341	0 50 110 132 162 216 260 276 302 318 362 416 446 468 528 578	642541152264
SPT(20)	1257802551893661421	0 16 58 82 102 112 120 138 142 156 172 186 190 208 216 226 246 270 312 328	732804315344
TPT(14)	1257802694122576421	0 2 30 32 120 122 210 212 240 242 336 338 378 380	875033230344