Prime p₀= 2123494495837885991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Chooka
db: batch=80, k=10, 2 4 2 10 2

TPT(14)	2123493544118596607	0 2 12 14 42 44 72 74 180 182 222 224 282 284	-951719289384
SPT(16)	2123493602497098133	0 54 58 78 96 150 180 250 264 334 364 418 436 456 460 514	-893340787858
SPT(16)	2123493608336397673	0 6 10 36 46 76 88 90 124 126 138 168 178 204 208 214	-887501488318
STPT(10)	2123493738206889791	0 2 78 80 138 140 198 200 276 278	-757630996200
TPT(14)	2123493831180267437	0 2 90 92 150 152 192 194 204 206 222 224 234 236	-664657618554
STPT(10)	2123494391094327929	0 2 18 20 30 32 42 44 60 62	-104743558062
SPT(16)	2123494716471465431	0 2 6 30 50 146 182 206 216 240 276 372 392 416 420 422	220633579440
SPT(16)	2123495209270363387	0 40 42 64 90 106 114 142 144 172 180 196 222 244 246 286	713432477396
SPT(16)	2123495627183038373	0 6 26 30 90 96 104 116 348 360 368 374 434 438 458 464	1131345152382
SPT(16)	2123495645383146247	0 6 10 16 42 66 120 156 160 196 250 274 300 306 310 316	1149545260256
STPT(10)	2123495966372104139	0 2 12 14 30 32 48 50 60 62	1470534218148