Prime p₀= 2136012773906007677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: Landjunge
db: batch=80, k=10, 2 70 2 28 2

SPT(16)	2136011214856563713	0 6 8 14 26 36 86 96 128 138 188 198 210 216 218 224	-1559049443964
STPT(10)	2136011781278501207	0 2 12 14 72 74 132 134 144 146	-992627506470
SPT(16)	2136012166236278977	0 10 22 52 66 70 72 160 192 280 282 286 300 330 342 352	-607669728700
STPT(10)	2136012279636623987	0 2 30 32 42 44 54 56 84 86	-494269383690
SPT(16)	2136012384083261503	0 10 36 40 66 108 138 150 154 166 196 238 264 268 294 304	-389822746174
STPT(10)	2136012725711384369	0 2 48 50 90 92 132 134 180 182	-48194623308
STPT(12)	2136013253020481771	0 2 30 32 60 62 66 68 96 98 126 128	479114474094
SPT(16)	2136013280575453141	0 18 46 78 120 126 168 186 220 238 280 286 328 360 388 406	506669445464
SPT(16)	2136013668512423347	0 36 42 64 90 112 120 130 186 196 204 226 252 274 280 316	894606415670
STPT(10)	2136013764620331719	0 2 12 14 30 32 48 50 60 62	990714324042
SPT(16)	2136013802926453189	0 60 64 120 174 234 244 252 280 288 298 358 412 468 472 532	1029020445512