Prime p₀= 4305717604962961219 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 32 12 36 4 6 20 76 20 6 4 36 12 32 58 (?)
a_n: 0 58 90 102 138 142 148 168 244 264 270 274 310 322 354 412
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: 412
Found by: Chooka
db: batch=85, k=16, 58 32 12 36 4 6 20 76

SPT(16)	4305715036498033381	0 48 72 90 112 130 136 160 168 192 198 216 238 256 280 328	-2568464927838
STPT(10)	4305715431539200487	0 2 30 32 42 44 54 56 84 86	-2173423760732
STPT(10)	4305716238768175211	0 2 36 38 78 80 120 122 156 158	-1366194786008
SPT(16)	4305716734123381309	0 12 28 42 118 120 124 130 162 168 172 174 250 264 280 292	-870839579910
STPT(10)	4305717130819284137	0 2 60 62 72 74 84 86 144 146	-474143677082
SPT(16)	4305717207992427307	0 66 84 100 124 126 156 190 240 274 304 306 330 346 364 430	-396970533912
SPT(16)	4305718056887775707	0 2 12 56 72 86 90 116 126 152 156 170 186 230 240 242	451924814488
STPT(10)	4305718064817808181	0 2 6 8 48 50 90 92 96 98	459854846962
STPT(10)	4305718757403737039	0 2 42 44 60 62 78 80 120 122	1152440775820
SPT(16)	4305719469659869817	0 24 30 44 156 176 246 252 254 260 330 350 462 476 482 506	1864696908598
STPT(10)	4305719488884437681	0 2 36 38 78 80 120 122 156 158	1883921476462