Prime p₀= 2628078463813722107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2628077030742397523	0 126 134 234 240 246 254 276 314 336 344 350 356 456 464 590	-1433071324584
STPT(10)	2628077500537361681	0 2 6 8 48 50 90 92 96 98	-963276360426
SPT(16)	2628077522551868017	0 4 12 30 46 54 70 186 190 306 322 330 346 364 372 376	-941261854090
SPT(16)	2628077863120528939	0 28 40 64 72 102 124 130 162 168 190 220 228 252 264 292	-600693193168
STPT(10)	2628078044225825801	0 2 36 38 78 80 120 122 156 158	-419587896306
SPT(18)	2628078219041979203	0 78 90 96 104 120 134 198 260 294 356 420 434 450 458 464 476 554	-244771742904
STPT(10)	2628078636713348081	0 2 6 8 48 50 90 92 96 98	172899625974
SPT(16)	2628078723622667303	0 18 24 50 84 86 120 134 150 164 198 200 234 260 266 284	259808945196
SPT(16)	2628078823835300351	0 20 36 42 48 50 120 138 140 158 228 230 236 242 258 278	360021578244
SPT(16)	2628078941858945461	0 18 22 28 60 78 112 118 132 138 172 190 222 228 232 250	478045223354
SPT(16)	2628079070311097761	0 18 28 30 40 42 52 102 106 156 166 168 178 180 190 208	606497375654