Prime p₀= 978201551631522677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Spectrum
db: batch=76, k=10, 2 40 2 88 2

SPT(16)	978199532344517377	0 12 30 46 52 60 100 112 114 126 166 174 180 196 214 226	-2019287005300
SPT(16)	978199735300725697	0 4 36 40 60 70 102 132 154 184 216 226 246 250 282 286	-1816330796980
STPT(10)	978200766323526839	0 2 42 44 60 62 78 80 120 122	-785307995838
SPT(16)	978200894846150329	0 22 60 100 124 144 148 202 210 264 268 288 312 352 390 412	-656785372348
STPT(10)	978201245576916971	0 2 36 38 78 80 120 122 156 158	-306054605706
SPT(16)	978201469040900659	0 22 34 48 78 88 150 154 168 172 234 244 274 288 300 322	-82590622018
STPT(10)	978201755615397461	0 2 36 38 78 80 120 122 156 158	203983874784
SPT(16)	978201842255612071	0 28 60 88 96 102 108 130 138 160 166 172 180 208 240 268	290624089394
SPT(13)	978201907165886873	0 30 96 114 144 156 210 264 276 306 324 390 420	355534364196
TPT(14)	978201930407802557	0 2 42 44 270 272 312 314 342 344 450 452 480 482	378776279880
SPT(16)	978202047160155329	0 18 78 98 102 114 152 158 204 210 248 260 264 284 344 362	495528632652