Prime p₀= 2048236375878923957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Josemi
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2048235722292393463	0 4 30 48 58 70 78 118 126 166 174 186 196 214 240 244	-653586530494
SPT(16)	2048235869988903697	0 34 40 60 64 82 120 126 160 166 204 222 226 246 252 286	-505890020260
SPT(16)	2048235885911600299	0 28 88 94 150 154 162 168 274 280 288 292 348 354 414 442	-489967323658
SPT(16)	2048236144340815129	0 22 24 30 70 120 130 162 172 204 214 264 304 310 312 334	-231538108828
SPT(16)	2048236257403631803	0 18 30 78 88 100 118 120 124 126 144 156 166 214 226 244	-118475292154
SPT(16)	2048236292932787509	0 12 28 34 82 112 118 172 210 264 270 300 348 354 370 382	-82946136448
SPT(16)	2048236589898921589	0 34 142 202 220 222 234 238 264 268 280 282 300 360 468 502	214019997632
STPT(10)	2048236758406528307	0 2 60 62 102 104 144 146 204 206	382527604350
STPT(10)	2048237004335142167	0 2 30 32 42 44 54 56 84 86	628456218210
SPT(16)	2048237193197383583	0 6 14 20 24 30 50 54 80 84 104 110 114 120 128 134	817318459626
SPT(16)	2048237193935478053	0 14 18 144 170 186 224 266 288 330 368 384 410 536 540 554	818056554096