Prime p₀= 2774700706605171077 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

STPT(12)	2774699107998493889	0 2 48 50 78 80 90 92 120 122 168 170	-1598606677188
TPT(14)	2774699794827344399	0 2 72 74 108 110 162 164 198 200 210 212 222 224	-911777826678
STPT(10)	2774699814916657487	0 2 30 32 72 74 114 116 144 146	-891688513590
SPT(16)	2774699967757664761	0 22 36 52 72 96 100 106 156 162 166 190 210 226 240 262	-738847506316
SPT(16)	2774700624585416399	0 42 68 92 122 164 210 224 228 242 288 330 360 384 410 452	-82019754678
SPT(16)	2774700659390139341	0 8 50 68 78 86 92 98 180 186 192 200 210 228 270 278	-47215031736
STPT(10)	2774701134916090319	0 2 18 20 30 32 42 44 60 62	428310919242
TPT(14)	2774701303332819359	0 2 30 32 102 104 168 170 210 212 228 230 312 314	596727648282
SPT(16)	2774701601035361237	0 32 66 80 92 114 192 260 276 344 422 444 456 470 504 536	894430190160
TPT(14)	2774701616186776091	0 2 6 8 96 98 138 140 186 188 210 212 390 392	909581605014
SPT(16)	2774701870795080689	0 42 80 128 150 168 194 254 288 348 374 392 414 462 500 542	1164189909612