Prime p₀= 1044476779333235819 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: UBT - Timbo
db: batch=76, k=10, 2 16 2 10 2

STPT(12)	1044475827326615639	0 2 18 20 42 44 48 50 72 74 90 92	-952006620180
SPT(16)	1044475844487587657	0 32 56 74 90 104 110 162 164 216 222 236 252 270 294 326	-934845648162
TPT(14)	1044475930709737661	0 2 90 92 186 188 258 260 378 380 498 500 540 542	-848623498158
SPT(16)	1044476304920273639	0 68 78 84 98 120 144 150 212 218 242 264 278 284 294 362	-474412962180
SPT(16)	1044476594265518461	0 6 10 40 90 106 130 138 160 168 192 208 258 288 292 298	-185067717358
STPT(10)	1044476602284719627	0 2 72 74 102 104 132 134 204 206	-177048516192
SPT(16)	1044476889589296589	0 18 40 60 82 90 100 108 244 252 262 270 292 312 334 352	110256060770
SPT(16)	1044477318988431233	0 38 78 104 110 140 188 210 218 240 288 318 324 350 390 428	539655195414
STPT(10)	1044477362909137847	0 2 30 32 42 44 54 56 84 86	583575902028
SPT(16)	1044477516092020253	0 8 26 48 60 66 90 140 144 194 218 224 236 258 276 284	736758784434
STPT(10)	1044477946025121869	0 2 48 50 60 62 72 74 120 122	1166691886050