Prime p₀= 2048651734535557937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: gemini8
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2048649983951776111	0 40 76 96 102 130 166 240 298 372 408 436 442 462 498 538	-1750583781826
STPT(10)	2048650117503913211	0 2 30 32 138 140 246 248 276 278	-1617031644726
STPT(10)	2048650833301837967	0 2 42 44 72 74 102 104 144 146	-901233719970
TPT(14)	2048650951494290711	0 2 138 140 150 152 198 200 240 242 318 320 360 362	-783041267226
STPT(10)	2048651082782218001	0 2 6 8 48 50 90 92 96 98	-651753339936
SPT(18)	2048651573797206277	0 6 16 22 42 54 64 70 72 124 126 132 142 154 174 180 190 196	-160738351660
STPT(10)	2048651880048204791	0 2 6 8 48 50 90 92 96 98	145512646854
STPT(10)	2048651949252083639	0 2 48 50 60 62 72 74 120 122	214716525702
SPT(16)	2048652247441395371	0 26 62 90 96 152 156 240 248 332 336 392 398 426 462 488	512905837434
SPT(16)	2048652260870505691	0 42 70 76 90 108 156 168 220 232 280 298 312 318 346 388	526334947754
STPT(10)	2048652734533384949	0 2 12 14 30 32 48 50 60 62	999997827012