Prime p₀= 2350775963066259161 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Time_Traveler
db: batch=81, k=10, 2 64 2 70 2

SPT(16)	2350774850206949923	0 28 30 54 78 130 136 154 180 198 204 256 280 304 306 334	-1112859309238
SPT(16)	2350774884163859831	0 6 18 32 98 116 140 152 186 198 222 240 306 320 332 338	-1078902399330
STPT(12)	2350775445012765299	0 2 12 14 18 20 42 44 48 50 60 62	-518053493862
SPT(16)	2350775509726448117	0 20 62 66 80 120 122 164 312 354 356 396 410 414 456 476	-453339811044
STPT(10)	2350775524584583277	0 2 24 26 42 44 60 62 84 86	-438481675884
SPT(16)	2350775621058954409	0 112 150 190 220 232 258 294 298 334 360 372 402 442 480 592	-342007304752
STPT(10)	2350776006637717829	0 2 42 44 60 62 78 80 120 122	43571458668
STPT(10)	2350776058960626431	0 2 36 38 78 80 120 122 156 158	95894367270
SPT(16)	2350776366152761409	0 2 18 42 102 104 114 134 168 188 198 200 260 284 300 302	403086502248
STPT(10)	2350776409036608071	0 2 36 38 78 80 120 122 156 158	445970348910
STPT(10)	2350777036857987347	0 2 30 32 42 44 54 56 84 86	1073791728186