Prime p₀= 1124731648383384779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: crashtech
db: batch=76, k=10, 2 10 2 76 2

STPT(10)	1124730834997034537	0 2 30 32 42 44 54 56 84 86	-813386350242
SPT(16)	1124731240835931529	0 12 22 40 58 118 132 160 240 268 282 342 360 378 388 400	-407547453250
SPT(16)	1124731329553036691	0 2 38 56 80 126 140 156 182 198 212 258 282 300 336 338	-318830348088
TPT(16)	1124731580168116397	0 2 12 14 24 26 72 74 120 122 180 182 204 206 234 236	-68215268382
SPT(16)	1124731597585343963	0 14 20 26 48 56 66 74 90 98 108 116 138 144 150 164	-50798040816
STPT(10)	1124731645210042559	0 2 18 20 30 32 42 44 60 62	-3173342220
STPT(10)	1124731693391411057	0 2 84 86 162 164 240 242 324 326	45008026278
STPT(10)	1124731830925728209	0 2 18 20 30 32 42 44 60 62	182542343430
TPT(14)	1124732181875981849	0 2 30 32 42 44 132 134 162 164 198 200 258 260	533492597070
SPT(16)	1124732360005113511	0 46 60 70 88 138 156 196 240 280 298 348 366 376 390 436	711621728732
SPT(16)	1124732628365716393	0 30 58 78 126 148 178 184 210 216 246 268 316 336 364 394	979982331614