Prime p₀= 2503772304930531407 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 12 12 6 84 84 6 24 6 84 84 6 12 12 12 (?)
a_n: 0 12 24 36 42 126 210 216 240 246 330 414 420 432 444 456
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 456
Found by: JayPi
db: batch=82, k=16, 12 12 12 6 84 84 6 24

SPT(16)	2503769871523322057	0 6 50 132 146 162 174 200 336 362 374 390 404 486 530 536	-2433407209350
STPT(10)	2503770500194038599	0 2 18 20 30 32 42 44 60 62	-1804736492808
SPT(16)	2503770515839997347	0 4 30 34 52 82 132 160 234 262 312 342 360 364 390 394	-1789090534060
STPT(10)	2503771428459563177	0 2 24 26 42 44 60 62 84 86	-876470968230
SPT(16)	2503771815547468229	0 2 8 122 144 170 234 252 410 428 492 518 540 654 660 662	-489383063178
TPT(14)	2503771848731371739	0 2 78 80 120 122 132 134 162 164 180 182 222 224	-456199159668
SPT(16)	2503772360104598753	0 8 18 36 114 146 150 186 188 224 228 260 338 356 366 374	55174067346
STPT(10)	2503772704966786619	0 2 42 44 60 62 78 80 120 122	400036255212
STPT(10)	2503772828342152067	0 2 30 32 42 44 54 56 84 86	523411620660
STPT(10)	2503772868289586219	0 2 18 20 30 32 42 44 60 62	563359054812
SPT(18)	2503773254279629153	0 24 28 70 90 96 100 120 126 148 154 174 178 184 204 246 250 274	949349097746