Prime p₀= 2046779882001332459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Coleslaw
db: batch=80, k=10, 2 16 2 40 2

STPT(10)	2046778801317542417	0 2 30 32 72 74 114 116 144 146	-1080683790042
STPT(10)	2046778965579197921	0 2 36 38 78 80 120 122 156 158	-916422134538
STPT(10)	2046779000021085401	0 2 36 38 78 80 120 122 156 158	-881980247058
SPT(16)	2046779448847888921	0 136 168 196 210 220 246 256 270 280 306 316 330 358 390 526	-433153443538
STPT(10)	2046779455651362041	0 2 36 38 78 80 120 122 156 158	-426349970418
STPT(10)	2046779623395510761	0 2 6 8 18 20 30 32 36 38	-258605821698
STPT(10)	2046779961256686749	0 2 30 32 60 62 90 92 120 122	79255354290
STPT(10)	2046780013407793661	0 2 6 8 48 50 90 92 96 98	131406461202
SPT(16)	2046780048055716667	0 46 66 72 130 144 154 172 204 222 232 246 304 310 330 376	166054384208
SPT(16)	2046780085583033809	0 12 60 64 82 94 112 138 154 180 198 210 228 232 280 292	203581701350
SPT(16)	2046780674975806529	0 8 30 74 84 198 200 204 218 222 224 338 348 392 414 422	792974474070