Prime p₀= 2356692824878974017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Dirk Broer
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2356691047929015173	0 24 36 80 84 98 120 126 188 194 216 230 234 278 290 314	-1776949958844
SPT(16)	2356691249755794229	0 4 18 28 40 42 70 82 90 102 130 132 144 154 168 172	-1575123179788
SPT(16)	2356691352117907523	0 8 20 56 104 110 138 140 144 146 174 180 228 264 276 284	-1472761066494
SPT(16)	2356691815297440773	0 6 8 36 38 80 96 126 158 188 204 246 248 276 278 284	-1009581533244
SPT(16)	2356692573208090529	0 32 38 60 68 80 84 152 240 308 312 324 332 354 360 392	-251670883488
STPT(10)	2356692602915911607	0 2 12 14 42 44 72 74 84 86	-221963062410
STPT(10)	2356693019082823241	0 2 6 8 18 20 30 32 36 38	194203849224
STPT(10)	2356693216123911167	0 2 24 26 42 44 60 62 84 86	391244937150
TPT(14)	2356693391930353871	0 2 90 92 150 152 306 308 330 332 378 380 426 428	567051379854
SPT(16)	2356693453302013429	0 30 42 48 60 114 154 168 274 288 328 382 394 400 412 442	628423039412
STPT(10)	2356694005899001799	0 2 18 20 30 32 42 44 60 62	1181020027782