Prime p₀= 2121799406312121659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 10 2 16 2

SPT(16)	2121797042328765229	0 30 64 88 112 120 130 138 154 162 172 180 204 228 262 292	-2363983356430
SPT(16)	2121797203695390569	0 18 38 74 80 84 98 110 138 150 164 168 174 210 230 248	-2202616731090
STPT(10)	2121798816591117401	0 2 36 38 108 110 180 182 216 218	-589721004258
STPT(10)	2121798970384530467	0 2 30 32 60 62 90 92 120 122	-435927591192
STPT(10)	2121799166106974909	0 2 42 44 60 62 78 80 120 122	-240205146750
SPT(16)	2121799384893260533	0 18 40 54 154 180 208 270 448 510 538 564 664 678 700 718	-21418861126
STPT(10)	2121799564720578047	0 2 30 32 42 44 54 56 84 86	158408456388
SPT(16)	2121799630158403733	0 44 48 90 116 140 158 228 236 306 324 348 374 416 420 464	223846282074
STPT(10)	2121799923510630071	0 2 36 38 78 80 120 122 156 158	517198508412
SPT(16)	2121800037845194381	0 36 108 148 190 208 232 280 318 366 390 408 450 490 562 598	631533072722
STPT(10)	2121800145005803739	0 2 42 44 180 182 318 320 360 362	738693682080