Prime p₀= 2719845376373412569 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2719843825981803263	0 18 56 86 144 150 164 200 204 240 254 260 318 348 386 404	-1550391609306
STPT(10)	2719843876988633489	0 2 48 50 90 92 132 134 180 182	-1499384779080
SPT(13)	2719844024378913877	0 12 42 90 126 132 216 300 306 342 390 420 432	-1351994498692
SPT(16)	2719844680700449397	0 2 32 54 90 156 186 194 372 380 410 476 512 534 564 566	-695672963172
STPT(10)	2719844857933955639	0 2 18 20 30 32 42 44 60 62	-518439456930
STPT(10)	2719845333372249737	0 2 30 32 72 74 114 116 144 146	-43001162832
STPT(10)	2719845579623978051	0 2 36 38 78 80 120 122 156 158	203250565482
STPT(10)	2719845609351463847	0 2 72 74 102 104 132 134 204 206	232978051278
SPT(16)	2719845820782299507	0 6 12 20 26 50 56 86 180 210 216 240 246 254 260 266	444408886938
TPT(14)	2719846036701243089	0 2 48 50 162 164 168 170 180 182 222 224 288 290	660327830520
STPT(10)	2719846044715109381	0 2 30 32 78 80 126 128 156 158	668341696812