Prime p₀= 1041356031464054717 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 4 62 4 84 20 52 68 52 20 84 4 62 4 50 (?)
a_n: 0 50 54 116 120 204 224 276 344 396 416 500 504 566 570 620
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: 620
Found by: Theadalus
db: batch=76, k=16, 50 4 62 4 84 20 52 68

STPT(10)	1041354965875966067	0 2 42 44 72 74 102 104 144 146	-1065588088650
STPT(10)	1041355073196980219	0 2 18 20 30 32 42 44 60 62	-958267074498
SPT(16)	1041355325170144007	0 60 74 92 116 122 132 150 266 284 294 300 324 342 356 416	-706293910710
STPT(10)	1041355557518295161	0 2 6 8 18 20 30 32 36 38	-473945759556
STPT(10)	1041355577598687737	0 2 12 14 42 44 72 74 84 86	-453865366980
SPT(18)	1041355946438116741	0 18 60 66 76 78 82 90 148 150 208 216 220 222 232 238 280 298	-85025937976
STPT(10)	1041356073978116621	0 2 6 8 48 50 90 92 96 98	42514061904
SPT(16)	1041356084376603383	0 56 86 110 114 126 134 204 230 300 308 320 324 348 378 434	52912548666
TPT(14)	1041356237477054801	0 2 78 80 126 128 150 152 156 158 198 200 210 212	206013000084
SPT(16)	1041356310433107859	0 72 82 120 130 142 154 172 180 198 210 222 232 270 280 352	278969053142
SPT(16)	1041356406284287369	0 28 52 58 90 118 132 138 154 160 174 202 234 240 264 292	374820232652