Prime p₀= 1117015813648779907 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 20 12 6 28 30 6 44 6 30 28 6 12 20 4 (?)
a_n: 0 4 24 36 42 70 100 106 150 156 186 214 220 232 252 256
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: 256
Found by: crashtech
db: batch=76, k=16, 4 20 12 6 28 30 6 44

SPT(16)	1117013864453094691	0 28 42 46 70 90 96 130 168 202 208 228 252 256 270 298	-1949195685216
SPT(16)	1117014320841907727	0 30 54 56 114 150 180 194 222 236 266 302 360 362 386 416	-1492806872180
SPT(16)	1117014630360298519	0 42 64 70 78 94 114 174 178 238 258 274 282 288 310 352	-1183288481388
STPT(10)	1117015523685777809	0 2 30 32 60 62 90 92 120 122	-289963002098
SPT(16)	1117015643799002977	0 60 66 82 112 120 144 162 214 232 256 264 294 310 316 376	-169849776930
SPT(16)	1117015802390967943	0 10 36 46 66 70 78 100 114 136 144 148 168 178 204 214	-11257811964
SPT(16)	1117016043497140229	0 2 24 32 78 120 132 158 174 200 212 254 300 308 330 332	229848360322
STPT(10)	1117016588841973847	0 2 24 26 42 44 60 62 84 86	775193193940
SPT(13)	1117016782657310599	0 12 78 150 162 168 180 192 198 210 282 348 360	969008530692
STPT(10)	1117016841319486067	0 2 42 44 102 104 162 164 204 206	1027670706160
SPT(16)	1117016863339527853	0 24 40 58 70 76 84 120 154 190 198 204 216 234 250 274	1049690747946