Prime p₀= 1235375377489690709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1235374239826202747	0 14 36 50 56 66 74 96 104 126 134 144 150 164 186 200	-1137663487962
SPT(16)	1235374443397814653	0 36 58 70 76 148 174 178 216 220 246 318 324 336 358 394	-934091876056
SPT(16)	1235374777974158543	0 50 66 96 126 128 144 186 218 260 276 278 308 338 354 404	-599515532166
SPT(16)	1235374920819363697	0 22 24 52 60 102 130 150 196 216 244 286 294 322 324 346	-456670327012
SPT(16)	1235374982480450653	0 4 6 18 48 66 76 108 136 168 178 196 226 238 240 244	-395009240056
TPT(14)	1235375240897851307	0 2 42 44 90 92 114 116 144 146 210 212 282 284	-136591839402
STPT(10)	1235375971440855089	0 2 18 20 30 32 42 44 60 62	593951164380
SPT(16)	1235376117355997093	0 8 50 54 60 80 114 138 140 164 198 218 224 228 270 278	739866306384
SPT(16)	1235376220405420903	0 28 40 84 96 108 160 166 258 264 316 328 340 384 396 424	842915730194
STPT(10)	1235376529617147821	0 2 36 38 78 80 120 122 156 158	1152127457112
STPT(12)	1235376602718032561	0 2 78 80 96 98 120 122 138 140 216 218	1225228341852