Prime p₀= 727919822685797627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	727917561683903441	0 8 26 30 32 48 56 86 102 132 140 156 158 162 180 188	-2261001894186
STPT(10)	727917598966404941	0 2 6 8 48 50 90 92 96 98	-2223719392686
SPT(16)	727918107785370661	0 12 22 48 60 66 90 96 202 208 232 238 250 276 286 298	-1714900426966
STPT(10)	727918640668551929	0 2 18 20 60 62 102 104 120 122	-1182017245698
SPT(20)	727918797728269999	0 12 42 54 90 124 130 178 192 234 238 280 294 342 348 382 418 430 460 472	-1024957527628
STPT(10)	727919409571437929	0 2 18 20 30 32 42 44 60 62	-413114359698
SPT(16)	727919939315213891	0 8 12 38 78 80 98 110 168 180 198 200 240 266 270 278	116629416264
SPT(16)	727920177349195849	0 12 18 40 82 90 130 142 198 210 250 258 300 322 328 340	354663398222
SPT(16)	727920274446963901	0 28 52 58 118 196 240 252 286 298 342 420 480 486 510 538	451761166274
SPT(16)	727920496512461887	0 46 60 94 130 192 202 216 250 264 274 336 372 406 420 466	673826664260
STPT(10)	727920592697309447	0 2 60 62 102 104 144 146 204 206	770011511820