Prime p₀= 2774696063580827987 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2774694243045257069	0 20 38 84 98 104 110 122 150 162 168 174 188 234 252 272	-1820535570918
STPT(10)	2774694252501313739	0 2 42 44 60 62 78 80 120 122	-1811079514248
SPT(16)	2774694612090720119	0 14 38 72 132 138 152 168 194 210 224 230 290 324 348 362	-1451490107868
SPT(16)	2774695056544978663	0 106 148 150 166 180 204 238 246 280 304 318 334 336 378 484	-1007035849324
STPT(10)	2774695619170787027	0 2 60 62 72 74 84 86 144 146	-444410040960
SPT(16)	2774695708031492191	0 16 42 100 108 130 136 160 168 192 198 220 228 286 312 328	-355549335796
SPT(16)	2774696324917624087	0 10 22 52 60 70 94 102 112 120 144 154 162 192 204 214	261336796100
SPT(16)	2774696344526146877	0 30 74 116 126 134 156 204 266 314 336 344 354 396 440 470	280945318890
STPT(10)	2774696391595810907	0 2 30 32 42 44 54 56 84 86	328014982920
SPT(16)	2774696608169642371	0 10 18 28 40 46 66 70 108 112 132 138 150 160 168 178	544588814384
TPT(14)	2774697108285505967	0 2 42 44 54 56 90 92 114 116 174 176 222 224	1044704677980