Prime p₀= 1235368064602467041 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 4 14 6 4 2 4 134 4 2 4 6 14 4 8 (?)
a_n: 0 8 12 26 32 36 38 42 176 180 182 186 192 206 210 218
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: 218
Found by: Cruncher Pete
db: batch=77, k=16, 8 4 14 6 4 2 4 134

SPT(16)	1235366641479554071	0 22 42 46 48 66 78 130 168 220 232 250 252 256 276 298	-1423122912970
SPT(16)	1235366666569619851	0 28 42 88 106 168 178 246 262 330 340 402 420 466 480 508	-1398032847190
SPT(16)	1235366982393337363	0 10 30 94 96 100 198 226 258 286 384 388 390 454 474 484	-1082209129678
SPT(16)	1235367351396415423	0 54 60 84 118 130 160 208 300 348 378 390 424 448 454 508	-713206051618
SPT(16)	1235367390999097289	0 48 50 62 114 150 230 234 278 282 362 398 450 462 464 512	-673603369752
STPT(10)	1235367518988879641	0 2 30 32 78 80 126 128 156 158	-545613587400
STPT(10)	1235368086129085367	0 2 30 32 42 44 54 56 84 86	21526618326
STPT(10)	1235368370559848981	0 2 30 32 78 80 126 128 156 158	305957381940
STPT(10)	1235368791217826537	0 2 30 32 42 44 54 56 84 86	726615359496
STPT(10)	1235368847257300079	0 2 42 44 60 62 78 80 120 122	782654833038
SPT(16)	1235368922663243689	0 10 28 72 88 112 142 154 258 270 300 324 340 384 402 412	858060776648