Prime p₀= 1265622034376652319 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 18 4 78 42 14 16 74 16 14 42 78 4 18 12 (?)
a_n: 0 12 30 34 112 154 168 184 258 274 288 330 408 412 430 442
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: 442
Found by: rlacr
db: batch=77, k=16, 12 18 4 78 42 14 16 74

SPT(16)	1265620636854891463	0 18 48 66 90 108 130 136 168 174 196 214 238 256 286 304	-1397521760856
STPT(10)	1265621382561499289	0 2 18 20 30 32 42 44 60 62	-651815153030
SPT(16)	1265621525955515329	0 24 60 102 112 172 210 214 258 262 300 360 370 412 448 472	-508421136990
STPT(10)	1265621874957871799	0 2 18 20 30 32 42 44 60 62	-159418780520
STPT(10)	1265621891663991317	0 2 30 32 42 44 54 56 84 86	-142712661002
SPT(16)	1265622002100308003	0 26 30 56 60 78 86 134 180 228 236 254 258 284 288 314	-32276344316
STPT(10)	1265622255730244309	0 2 18 20 30 32 42 44 60 62	221353591990
SPT(16)	1265622313131587419	0 12 28 42 54 100 130 142 150 162 192 238 250 264 280 292	278754935100
SPT(16)	1265622340166330131	0 6 82 102 112 118 138 150 238 250 270 276 286 306 382 388	305789677812
SPT(16)	1265622454881434093	0 6 26 30 44 56 68 126 218 276 288 300 314 318 338 344	420504781774
SPT(16)	1265622599578318649	0 24 44 50 84 110 128 152 180 204 222 248 282 288 308 332	565201666330