Prime p₀= 741741052198796561 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: Theadalus
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	741740285567361277	0 40 70 72 136 204 256 280 306 330 382 450 514 516 546 586	-766631435284
SPT(16)	741740374986381389	0 12 38 72 80 90 108 128 132 152 170 180 188 222 248 260	-677212415172
SPT(16)	741740445154873781	0 2 8 12 30 50 66 96 152 182 198 218 236 240 246 248	-607043922780
STPT(10)	741740548474625507	0 2 42 44 132 134 222 224 264 266	-503724171054
SPT(16)	741740840309017033	0 6 16 36 60 84 108 136 168 196 220 244 268 288 298 304	-211889779528
SPT(16)	741740953024594877	0 12 74 96 182 200 242 266 300 324 366 384 470 492 554 566	-99174201684
STPT(10)	741741197893956287	0 2 30 32 42 44 54 56 84 86	145695159726
STPT(10)	741741265450623479	0 2 18 20 30 32 42 44 60 62	213251826918
SPT(16)	741741304880568929	0 30 44 60 104 114 140 158 180 198 224 234 278 294 308 338	252681772368
SPT(16)	741741376090275179	0 38 62 98 108 128 164 168 194 198 234 254 264 300 324 362	323891478618
SPT(16)	741741561219866443	0 4 34 54 96 106 144 210 250 316 354 364 406 426 456 460	509021069882