Prime p₀= 1427240705154305099 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: stanley a bourdon
db: batch=78, k=10, 2 40 2 16 2

TPT(14)	1427240009233195541	0 2 18 20 60 62 66 68 96 98 138 140 168 170	-695921109558
STPT(10)	1427240068344678557	0 2 30 32 72 74 114 116 144 146	-636809626542
SPT(16)	1427240265795490579	0 58 88 174 220 240 244 270 292 318 322 342 388 474 504 562	-439358814520
TPT(14)	1427240347374777491	0 2 6 8 48 50 78 80 90 92 96 98 108 110	-357779527608
STPT(10)	1427240348701177847	0 2 12 14 72 74 132 134 144 146	-356453127252
TPT(14)	1427240493486316499	0 2 12 14 18 20 198 200 222 224 282 284 300 302	-211667988600
SPT(16)	1427240712909625841	0 36 42 62 80 90 110 120 152 162 182 192 210 230 236 272	7755320742
SPT(16)	1427240937161052193	0 34 36 70 76 78 88 90 124 126 136 138 144 178 180 214	232006747094
TPT(14)	1427241072329359709	0 2 42 44 78 80 102 104 120 122 132 134 168 170	367175054610
SPT(16)	1427241099235199123	0 14 30 56 78 80 134 170 234 270 324 326 348 374 390 404	394080894024
STPT(10)	1427241144954630251	0 2 36 38 78 80 120 122 156 158	439800325152