Prime p₀= 2111997882555944837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: gemini8
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2111996237987908843	0 54 70 88 124 204 214 226 228 240 250 330 366 384 400 454	-1644568035994
TPT(14)	2111996584356709679	0 2 30 32 102 104 222 224 360 362 402 404 432 434	-1298199235158
SPT(16)	2111996719327524163	0 28 36 54 58 70 94 106 198 210 234 246 250 268 276 304	-1163228420674
SPT(16)	2111997068786359621	0 12 42 48 66 72 96 126 142 172 196 202 220 226 256 268	-813769585216
SPT(16)	2111997482994320197	0 40 64 66 112 124 126 132 154 160 162 174 220 222 246 286	-399561624640
SPT(16)	2111997525190451357	0 2 42 72 86 104 110 132 134 156 162 180 194 224 264 266	-357365493480
SPT(16)	2111997895754363417	0 62 72 86 140 152 176 236 240 300 324 336 390 404 414 476	13198418580
TPT(14)	2111998055908522709	0 2 48 50 72 74 102 104 168 170 252 254 312 314	173352577872
SPT(16)	2111998058366483437	0 34 82 96 124 126 142 160 216 234 250 252 280 294 342 376	175810538600
SPT(16)	2111998314845997551	0 18 32 42 68 80 96 110 198 212 228 240 266 276 290 308	432290052714
STPT(10)	2111998327997908289	0 2 18 20 60 62 102 104 120 122	445441963452