Prime p₀= 1235376984141998837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1235375971440855089	0 2 18 20 30 32 42 44 60 62	-1012701143748
SPT(16)	1235376117355997093	0 8 50 54 60 80 114 138 140 164 198 218 224 228 270 278	-866786001744
SPT(16)	1235376220405420903	0 28 40 84 96 108 160 166 258 264 316 328 340 384 396 424	-763736577934
STPT(10)	1235376529617147821	0 2 36 38 78 80 120 122 156 158	-454524851016
STPT(12)	1235376602718032561	0 2 78 80 96 98 120 122 138 140 216 218	-381423966276
SPT(16)	1235376703887750601	0 42 48 72 90 100 108 112 216 220 228 238 256 280 286 328	-280254248236
SPT(16)	1235377018199890399	0 42 72 84 94 100 120 210 214 304 324 330 340 352 382 424	34057891562
STPT(10)	1235377025540253689	0 2 42 44 60 62 78 80 120 122	41398254852
STPT(10)	1235377128894306941	0 2 6 8 48 50 90 92 96 98	144752308104
STPT(10)	1235377400427851909	0 2 42 44 90 92 138 140 180 182	416285853072
SPT(16)	1235377420271188559	0 44 50 68 72 128 134 162 200 228 234 290 294 312 318 362	436129189722