Prime p₀= 1242658109927753977 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 28 18 68 6 84 6 4 6 84 6 68 18 28 6 (?)
a_n: 0 6 34 52 120 126 210 216 220 226 310 316 384 402 430 436
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: 436
Found by: Cruncher Pete
db: batch=77, k=16, 6 28 18 68 6 84 6 4

SPT(16)	1242657217910138803	0 48 54 90 180 196 238 264 310 336 378 394 484 520 526 574	-892017615174
SPT(16)	1242657689590848203	0 36 114 126 134 138 144 176 228 260 266 270 278 290 368 404	-420336905774
SPT(16)	1242657754432719227	0 26 30 32 50 84 114 116 120 122 152 186 204 206 210 236	-355495034750
TPT(14)	1242657855760095221	0 2 30 32 168 170 210 212 270 272 348 350 360 362	-254167658756
STPT(10)	1242657972481866971	0 2 30 32 60 62 90 92 120 122	-137445887006
STPT(10)	1242657974929500551	0 2 36 38 78 80 120 122 156 158	-134998253426
STPT(10)	1242658870424562917	0 2 42 44 72 74 102 104 144 146	760496808940
SPT(16)	1242658883459047097	0 60 84 110 114 140 242 246 260 264 366 392 396 422 446 506	773531293120
STPT(10)	1242659014733425697	0 2 42 44 72 74 102 104 144 146	904805671720
STPT(10)	1242659079159202169	0 2 48 50 90 92 132 134 180 182	969231448192
SPT(16)	1242659253938740223	0 6 14 60 80 110 134 138 146 150 174 204 224 270 278 284	1144010986246