Prime p₀= 1512444139017342257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: crashtech
db: batch=78, k=10, 2 22 2 16 2

STPT(10)	1512441934598325719	0 2 18 20 30 32 42 44 60 62	-2204419016538
SPT(16)	1512441946600789661	0 20 36 48 86 90 108 116 132 140 158 162 200 212 228 248	-2192416552596
SPT(16)	1512442464287208877	0 16 22 40 52 54 106 126 190 210 262 264 276 294 300 316	-1674730133380
SPT(16)	1512442509789573059	0 14 42 54 104 152 168 218 234 284 300 348 398 410 438 452	-1629227769198
SPT(16)	1512442944774482353	0 24 84 100 150 156 166 216 244 294 304 310 360 376 436 460	-1194242859904
SPT(16)	1512443559463674659	0 42 44 72 78 92 120 138 164 182 210 224 230 258 260 302	-579553667598
SPT(16)	1512444251606941571	0 36 66 102 120 132 140 150 158 168 176 188 206 242 272 308	112589599314
SPT(16)	1512444485522871391	0 40 88 96 102 108 126 138 310 322 340 346 352 360 408 448	346505529134
STPT(10)	1512444530174860949	0 2 42 44 60 62 78 80 120 122	391157518692
STPT(10)	1512445573009682357	0 2 12 14 72 74 132 134 144 146	1433992340100
TPT(14)	1512445836726062741	0 2 96 98 138 140 198 200 306 308 318 320 348 350	1697708720484