Prime p₀= 2319693787643589347 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2319692613290260601	0 2 30 32 150 152 156 158 240 242 306 308 420 422	-1174353328746
SPT(16)	2319692644771553833	0 18 60 88 126 144 168 174 190 196 220 238 276 304 346 364	-1142872035514
SPT(16)	2319693022739022191	0 30 62 66 72 86 98 108 140 150 162 176 182 186 218 248	-764904567156
SPT(16)	2319693154760176529	0 54 80 120 144 174 182 224 228 270 278 308 332 372 398 452	-632883412818
SPT(16)	2319693250106384989	0 18 30 58 100 114 124 174 238 288 298 312 354 382 394 412	-537537204358
STPT(10)	2319693341657579969	0 2 12 14 90 92 168 170 180 182	-445986009378
TPT(14)	2319694102962725681	0 2 126 128 168 170 210 212 360 362 516 518 570 572	315319136334
SPT(16)	2319694600869769861	0 6 48 66 70 72 108 138 280 310 346 348 352 370 412 418	813226180514
SPT(16)	2319694716538417931	0 30 62 66 72 98 108 110 168 170 180 206 212 216 248 278	928894828584
STPT(12)	2319695283112885037	0 2 24 26 84 86 90 92 150 152 174 176	1495469295690
STPT(10)	2319695303494708169	0 2 18 20 30 32 42 44 60 62	1515851118822