Prime p₀= 2774698891685833727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2774696344526146877	0 30 74 116 126 134 156 204 266 314 336 344 354 396 440 470	-2547159686850
STPT(10)	2774696391595810907	0 2 30 32 42 44 54 56 84 86	-2500090022820
SPT(16)	2774696608169642371	0 10 18 28 40 46 66 70 108 112 132 138 150 160 168 178	-2283516191356
TPT(14)	2774697108285505967	0 2 42 44 54 56 90 92 114 116 174 176 222 224	-1783400327760
TPT(14)	2774698219830042431	0 2 90 92 198 200 210 212 288 290 378 380 456 458	-671855791296
STPT(10)	2774698686702013397	0 2 42 44 72 74 102 104 144 146	-204983820330
STPT(12)	2774699107998493889	0 2 48 50 78 80 90 92 120 122 168 170	216312660162
TPT(14)	2774699794827344399	0 2 72 74 108 110 162 164 198 200 210 212 222 224	903141510672
STPT(10)	2774699814916657487	0 2 30 32 72 74 114 116 144 146	923230823760
SPT(16)	2774699967757664761	0 22 36 52 72 96 100 106 156 162 166 190 210 226 240 262	1076071831034
SPT(16)	2774700624585416399	0 42 68 92 122 164 210 224 228 242 288 330 360 384 410 452	1732899582672