Prime p₀= 1121558256765888671 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 32 6 22 20 40 6 20 16 20 6 40 20 22 6 32 (?)
a_n: 0 32 38 60 80 120 126 146 162 182 188 228 248 270 276 308
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: 308
Found by: Theadalus
db: batch=76, k=16, 32 6 22 20 40 6 20 16

SPT(16)	1121556176922873997	0 22 42 70 90 100 120 130 144 154 174 184 204 232 252 274	-2079843014674
SPT(16)	1121556916483140997	0 6 60 90 112 124 132 144 202 214 222 234 256 286 340 346	-1340282747674
STPT(10)	1121557057163179457	0 2 60 62 72 74 84 86 144 146	-1199602709214
STPT(10)	1121557075311644327	0 2 30 32 72 74 114 116 144 146	-1181454244344
SPT(16)	1121557709509007777	0 14 56 84 86 90 114 140 156 182 206 210 212 240 282 296	-547256880894
STPT(10)	1121557784853126497	0 2 30 32 60 62 90 92 120 122	-471912762174
STPT(10)	1121558536744200557	0 2 30 32 72 74 114 116 144 146	279978311886
SPT(16)	1121558666842634231	0 2 12 38 60 78 128 206 282 360 410 428 450 476 486 488	410076745560
STPT(10)	1121558928018368687	0 2 12 14 42 44 72 74 84 86	671252480016
SPT(16)	1121559041904128237	0 2 36 50 56 102 104 144 212 252 254 300 306 320 354 356	785138239566
STPT(10)	1121559070987669817	0 2 24 26 42 44 60 62 84 86	814221781146