Prime p₀= 2546885015113070459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2546884515470997061	0 28 100 142 150 156 162 178 180 196 202 208 216 258 330 358	-499642073398
STPT(10)	2546884564977152339	0 2 18 20 30 32 42 44 60 62	-450135918120
STPT(10)	2546884737852763277	0 2 30 32 72 74 114 116 144 146	-277260307182
SPT(16)	2546884823973960577	0 24 42 94 150 196 232 274 342 384 420 466 522 574 592 616	-191139109882
TPT(14)	2546884869844306631	0 2 258 260 300 302 336 338 456 458 498 500 516 518	-145268763828
STPT(10)	2546884989453052979	0 2 132 134 150 152 168 170 300 302	-25660017480
STPT(10)	2546885740769268161	0 2 6 8 48 50 90 92 96 98	725656197702
SPT(16)	2546885839762396031	0 6 8 12 18 26 30 78 110 158 162 170 176 180 182 188	824649325572
SPT(16)	2546885952799831117	0 24 52 70 72 96 112 166 270 324 340 364 366 384 412 436	937686760658
STPT(10)	2546886514747038197	0 2 24 26 42 44 60 62 84 86	1499633967738
SPT(16)	2546886785678405759	0 92 98 102 110 122 140 158 162 180 198 210 218 222 228 320	1770565335300