Prime p₀= 2159728393152117839 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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=81, k=10, 2 16 2 10 2

SPT(16)	2159726489579976553	0 18 48 54 60 84 90 108 190 208 214 238 244 250 280 298	-1903572141286
STPT(10)	2159726847156632981	0 2 66 68 138 140 210 212 276 278	-1545995484858
STPT(10)	2159727696195886247	0 2 12 14 72 74 132 134 144 146	-696956231592
SPT(16)	2159728088382349759	0 42 70 82 112 148 198 222 238 262 312 348 378 390 418 460	-304769768080
STPT(10)	2159728196149617557	0 2 60 62 102 104 144 146 204 206	-197002500282
TPT(14)	2159728369631724761	0 2 18 20 78 80 126 128 210 212 216 218 240 242	-23520393078
SPT(16)	2159728856368809577	0 36 96 112 120 126 154 186 190 222 250 256 264 280 340 376	463216691738
STPT(12)	2159729352784904009	0 2 18 20 42 44 48 50 72 74 90 92	959632786170
SPT(16)	2159729811328335401	0 12 60 80 140 150 152 168 182 198 200 210 270 290 338 350	1418176217562
STPT(10)	2159730548632814231	0 2 6 8 48 50 90 92 96 98	2155480696392
SPT(16)	2159730553205928713	0 14 30 80 84 86 104 138 206 240 258 260 264 314 330 344	2160053810874