Prime p₀= 2444659134069418493 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 66 18 18 14 34 24 8 24 34 14 18 18 66 24 (?)
a_n: 0 24 90 108 126 140 174 198 206 230 264 278 296 314 380 404
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: 404
Found by: JayPi
db: batch=82, k=16, 24 66 18 18 14 34 24 8

STPT(10)	2444657809959870677	0 2 42 44 72 74 102 104 144 146	-1324109547816
SPT(16)	2444658092407145977	0 36 40 42 60 66 82 84 172 174 190 196 214 216 220 256	-1041662272516
SPT(16)	2444658411949911943	0 4 34 78 126 130 144 148 216 220 234 238 286 330 360 364	-722119506550
TPT(14)	2444658435166627109	0 2 48 50 108 110 342 344 378 380 432 434 462 464	-698902791384
SPT(16)	2444658437058694039	0 18 42 52 94 124 130 150 172 192 198 228 270 280 304 322	-697010724454
STPT(10)	2444659129527873239	0 2 42 44 60 62 78 80 120 122	-4541545254
SPT(16)	2444659158613934677	0 70 136 154 184 220 246 252 304 310 336 372 402 420 486 556	24544516184
SPT(16)	2444659371235044349	0 22 24 70 78 124 138 144 148 154 168 214 222 268 270 292	237165625856
SPT(16)	2444659550422541593	0 66 96 108 114 136 144 168 196 220 228 250 256 268 298 364	416353123100
STPT(10)	2444659950700671677	0 2 30 32 42 44 54 56 84 86	816631253184
SPT(16)	2444659974258289171	0 18 42 60 66 70 82 118 150 186 198 202 208 226 250 268	840188870678