Prime p₀= 2121798970384530467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2121796766898396317	0 2 30 32 72 74 114 116 144 146	-2203486134150
SPT(16)	2121796875093386441	0 32 90 96 158 222 242 266 282 306 326 390 452 458 516 548	-2095291144026
SPT(16)	2121796999381509067	0 46 52 76 90 106 150 190 216 256 300 316 330 354 360 406	-1971003021400
SPT(16)	2121797042328765229	0 30 64 88 112 120 130 138 154 162 172 180 204 228 262 292	-1928055765238
SPT(16)	2121797203695390569	0 18 38 74 80 84 98 110 138 150 164 168 174 210 230 248	-1766689139898
STPT(10)	2121798816591117401	0 2 36 38 108 110 180 182 216 218	-153793413066
STPT(10)	2121799166106974909	0 2 42 44 60 62 78 80 120 122	195722444442
SPT(16)	2121799384893260533	0 18 40 54 154 180 208 270 448 510 538 564 664 678 700 718	414508730066
STPT(10)	2121799406312121659	0 2 12 14 30 32 48 50 60 62	435927591192
STPT(10)	2121799564720578047	0 2 30 32 42 44 54 56 84 86	594336047580
SPT(16)	2121799630158403733	0 44 48 90 116 140 158 228 236 306 324 348 374 416 420 464	659773873266