Prime p₀= 2199503091131576141 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Penguin
db: batch=81, k=10, 2 4 2 10 2

TPT(14)	2199501652769778629	0 2 30 32 138 140 192 194 228 230 240 242 270 272	-1438361797512
STPT(10)	2199501826972021301	0 2 36 38 78 80 120 122 156 158	-1264159554840
SPT(16)	2199502591785997727	0 12 14 32 50 62 66 132 194 260 264 276 294 312 314 326	-499345578414
SPT(20)	2199502727485168867	0 6 12 46 60 94 124 154 180 196 240 256 282 312 342 376 390 424 430 436	-363646407274
STPT(10)	2199502728541528379	0 2 12 14 30 32 48 50 60 62	-362590047762
SPT(16)	2199502962710535907	0 6 34 42 60 66 94 124 132 162 190 196 214 222 250 256	-128421040234
STPT(10)	2199503687823769037	0 2 42 44 72 74 102 104 144 146	596692192896
SPT(16)	2199503819872254937	0 4 12 34 42 66 96 100 126 130 160 184 192 214 222 226	728740678796
STPT(10)	2199504041138970659	0 2 42 44 60 62 78 80 120 122	950007394518
SPT(16)	2199504090515975203	0 4 76 94 108 136 154 178 186 210 228 256 270 288 360 364	999384399062
STPT(10)	2199504219183220847	0 2 60 62 72 74 84 86 144 146	1128051644706