Prime p₀= 2776070792857313053 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 44 46 44 18 4 26 22 26 4 18 44 46 44 34 (?)
a_n: 0 34 78 124 168 186 190 216 238 264 268 286 330 376 420 454
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: 454
Found by: JayPi
db: batch=82, k=16, 34 44 46 44 18 4 26 22

SPT(16)	2776068858648221783	0 20 26 30 38 110 126 194 210 278 294 366 374 378 384 404	-1934209091270
SPT(16)	2776069010325631303	0 6 64 70 78 100 108 136 138 166 174 196 204 210 268 274	-1782531681750
SPT(16)	2776069076683763243	0 38 48 66 74 80 104 116 168 180 204 210 218 236 246 284	-1716173549810
STPT(10)	2776069338985700081	0 2 30 32 78 80 126 128 156 158	-1453871612972
SPT(16)	2776069989445918261	0 40 42 48 90 106 136 148 180 192 222 238 280 286 288 328	-803411394792
SPT(16)	2776070305621551889	0 12 58 108 118 130 150 168 184 202 222 234 244 294 340 352	-487235761164
SPT(16)	2776070812226888543	0 6 20 68 96 120 164 170 174 180 224 248 276 324 338 344	19369575490
SPT(16)	2776071004835350427	0 30 66 126 156 200 234 296 330 392 426 470 500 560 596 626	211978037374
STPT(10)	2776071029216320019	0 2 18 20 30 32 42 44 60 62	236359006966
SPT(16)	2776071398096599643	0 54 56 96 120 146 188 236 258 306 348 374 398 438 440 494	605239286590
SPT(16)	2776071618894837491	0 30 68 78 90 98 128 152 198 222 252 260 272 282 320 350	826037524438