Prime p₀= 1232798997196645127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Theadalus
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1232798251432008581	0 42 66 80 92 146 150 162 206 218 222 276 288 302 326 368	-745764636546
SPT(16)	1232798280319072231	0 10 66 78 118 142 156 172 216 232 246 270 310 322 378 388	-716877572896
SPT(16)	1232798431610840261	0 30 56 66 110 170 198 222 266 290 318 378 422 432 458 488	-565585804866
SPT(16)	1232798530090840729	0 34 58 84 130 132 148 154 318 324 340 342 388 414 438 472	-467105804398
SPT(16)	1232798565834171361	0 46 78 106 112 126 132 160 198 226 232 246 252 280 312 358	-431362473766
STPT(10)	1232798905945628027	0 2 30 32 42 44 54 56 84 86	-91251017100
STPT(10)	1232799215413622357	0 2 54 56 72 74 90 92 144 146	218216977230
SPT(16)	1232799339516176219	0 2 42 50 68 72 78 102 110 134 140 144 162 170 210 212	342319531092
STPT(12)	1232799602057810819	0 2 30 32 42 44 48 50 60 62 90 92	604861165692
STPT(10)	1232799620669281961	0 2 6 8 18 20 30 32 36 38	623472636834
SPT(16)	1232800117198913623	0 28 70 78 148 196 198 226 258 286 288 336 406 414 456 484	1120002268496