Prime p₀= 2696445756343278673 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 54 54 130 2 54 4 20 52 20 4 54 2 130 54 54 (?)
a_n: 0 54 108 238 240 294 298 318 370 390 394 448 450 580 634 688
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: 688
Found by: JayPi
db: batch=82, k=16, 54 54 130 2 54 4 20 52

SPT(16)	2696443540522503341	0 8 50 96 126 138 146 188 198 240 248 260 290 336 378 386	-2215820775332
TPT(14)	2696443645067072111	0 2 30 32 78 80 120 122 198 200 246 248 276 278	-2111276206562
STPT(10)	2696444174096830667	0 2 42 44 72 74 102 104 144 146	-1582246448006
STPT(10)	2696444347086567431	0 2 6 8 48 50 90 92 96 98	-1409256711242
SPT(16)	2696444847763948373	0 8 56 66 78 126 158 164 180 186 218 266 278 288 336 344	-908579330300
STPT(10)	2696445310306890521	0 2 36 38 78 80 120 122 156 158	-446036388152
SPT(16)	2696446002752916329	0 14 54 68 144 158 188 210 212 234 264 278 354 368 408 422	246409637656
SPT(16)	2696446126001711197	0 114 130 160 190 280 294 340 384 430 444 534 564 594 610 724	369658432524
SPT(16)	2696446134502061551	0 36 42 60 78 112 126 142 156 172 186 220 238 256 262 298	378158782878
SPT(16)	2696446253805092429	0 42 54 68 104 158 182 240 242 300 324 378 414 428 440 482	497461813756
STPT(10)	2696446447779240857	0 2 30 32 42 44 54 56 84 86	691435962184