Prime p₀= 1956710052161755727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 10 2 58 2

TPT(14)	1956709622504528471	0 2 30 32 66 68 126 128 138 140 156 158 180 182	-429657227256
SPT(16)	1956709687858790219	0 54 62 78 84 92 104 108 134 138 150 158 164 180 188 242	-364302965508
STPT(10)	1956709754563174781	0 2 30 32 78 80 126 128 156 158	-297598580946
STPT(10)	1956709875501406307	0 2 42 44 72 74 102 104 144 146	-176660349420
STPT(10)	1956709879995742367	0 2 12 14 42 44 72 74 84 86	-172166013360
SPT(16)	1956710040052736453	0 6 20 80 90 128 150 224 300 374 396 434 444 504 518 524	-12109019274
STPT(10)	1956710389718496029	0 2 48 50 60 62 72 74 120 122	337556740302
SPT(16)	1956710779967145283	0 16 58 126 154 160 204 208 246 250 294 300 328 396 438 454	727805389556
STPT(10)	1956710792724843941	0 2 30 32 78 80 126 128 156 158	740563088214
SPT(16)	1956710854176935149	0 40 72 82 102 118 154 184 198 228 264 280 300 310 342 382	802015179422
SPT(16)	1956711038817910273	0 66 70 90 100 108 114 150 244 280 286 294 304 324 328 394	986656154546